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Finding the Fourth Proportional to 529.07, 729.61 and 404.73

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Solution

The fourth proportional to 529.07, 729.61 and 404.73 is: 558.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.07 : 729.61 = 404.73 : x
  2. Step 2: Convert to fraction form
    529.07/729.61 = 404.73/x
  3. Step 3: Cross multiply
    529.07x = 729.61 × 404.73
  4. Step 4: Simplify right side
    529.07x = 295,294.04
  5. Step 5: Solve for x
    x = 295,294.04/529.07
  6. Step 6: Final answer
    x = 558.14

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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.