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Finding the Fourth Proportional to 667.11, 921.15 and 431.19

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Solution

The fourth proportional to 667.11, 921.15 and 431.19 is: 595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.11 : 921.15 = 431.19 : x
  2. Step 2: Convert to fraction form
    667.11/921.15 = 431.19/x
  3. Step 3: Cross multiply
    667.11x = 921.15 × 431.19
  4. Step 4: Simplify right side
    667.11x = 397,190.67
  5. Step 5: Solve for x
    x = 397,190.67/667.11
  6. Step 6: Final answer
    x = 595.39

Related Problems

Find fourth proportional to 333.56, 460.58 and 215.60
Half scale
Find fourth proportional to 1,334.22, 1,842.30 and 862.38
Double scale
Find fourth proportional to 668.11, 922.53 and 432.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.