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Finding the Fourth Proportional to 435.72, 652.42 and 410.43

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Solution

The fourth proportional to 435.72, 652.42 and 410.43 is: 614.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.72 : 652.42 = 410.43 : x
  2. Step 2: Convert to fraction form
    435.72/652.42 = 410.43/x
  3. Step 3: Cross multiply
    435.72x = 652.42 × 410.43
  4. Step 4: Simplify right side
    435.72x = 267,770.81
  5. Step 5: Solve for x
    x = 267,770.81/435.72
  6. Step 6: Final answer
    x = 614.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.