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Finding the Fourth Proportional to 529.05, 729.42 and 404.52

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Solution

The fourth proportional to 529.05, 729.42 and 404.52 is: 557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.05 : 729.42 = 404.52 : x
  2. Step 2: Convert to fraction form
    529.05/729.42 = 404.52/x
  3. Step 3: Cross multiply
    529.05x = 729.42 × 404.52
  4. Step 4: Simplify right side
    529.05x = 295,064.98
  5. Step 5: Solve for x
    x = 295,064.98/529.05
  6. Step 6: Final answer
    x = 557.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.