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Finding the Fourth Proportional to 518.87, 716.12 and 297.89

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Solution

The fourth proportional to 518.87, 716.12 and 297.89 is: 411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.87 : 716.12 = 297.89 : x
  2. Step 2: Convert to fraction form
    518.87/716.12 = 297.89/x
  3. Step 3: Cross multiply
    518.87x = 716.12 × 297.89
  4. Step 4: Simplify right side
    518.87x = 213,319.92
  5. Step 5: Solve for x
    x = 213,319.92/518.87
  6. Step 6: Final answer
    x = 411.13

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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.