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Finding the Fourth Proportional to 534.21, 736.61 and 435.66

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Solution

The fourth proportional to 534.21, 736.61 and 435.66 is: 600.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.21 : 736.61 = 435.66 : x
  2. Step 2: Convert to fraction form
    534.21/736.61 = 435.66/x
  3. Step 3: Cross multiply
    534.21x = 736.61 × 435.66
  4. Step 4: Simplify right side
    534.21x = 320,909.33
  5. Step 5: Solve for x
    x = 320,909.33/534.21
  6. Step 6: Final answer
    x = 600.72

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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.