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Finding the Fourth Proportional to 729.23, 1,006.35 and 414.57

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Solution

The fourth proportional to 729.23, 1,006.35 and 414.57 is: 572.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.23 : 1,006.35 = 414.57 : x
  2. Step 2: Convert to fraction form
    729.23/1,006.35 = 414.57/x
  3. Step 3: Cross multiply
    729.23x = 1,006.35 × 414.57
  4. Step 4: Simplify right side
    729.23x = 417,202.52
  5. Step 5: Solve for x
    x = 417,202.52/729.23
  6. Step 6: Final answer
    x = 572.11

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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.