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Finding the Fourth Proportional to 515.69, 710.85 and 404.97

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Solution

The fourth proportional to 515.69, 710.85 and 404.97 is: 558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.69 : 710.85 = 404.97 : x
  2. Step 2: Convert to fraction form
    515.69/710.85 = 404.97/x
  3. Step 3: Cross multiply
    515.69x = 710.85 × 404.97
  4. Step 4: Simplify right side
    515.69x = 287,876.64
  5. Step 5: Solve for x
    x = 287,876.64/515.69
  6. Step 6: Final answer
    x = 558.23

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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.