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Finding the Fourth Proportional to 667.36, 920.78 and 405.32

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Solution

The fourth proportional to 667.36, 920.78 and 405.32 is: 559.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.36 : 920.78 = 405.32 : x
  2. Step 2: Convert to fraction form
    667.36/920.78 = 405.32/x
  3. Step 3: Cross multiply
    667.36x = 920.78 × 405.32
  4. Step 4: Simplify right side
    667.36x = 373,210.55
  5. Step 5: Solve for x
    x = 373,210.55/667.36
  6. Step 6: Final answer
    x = 559.23

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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.