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Finding the Fourth Proportional to 518.49, 715.48 and 297.52

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Solution

The fourth proportional to 518.49, 715.48 and 297.52 is: 410.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.49 : 715.48 = 297.52 : x
  2. Step 2: Convert to fraction form
    518.49/715.48 = 297.52/x
  3. Step 3: Cross multiply
    518.49x = 715.48 × 297.52
  4. Step 4: Simplify right side
    518.49x = 212,869.61
  5. Step 5: Solve for x
    x = 212,869.61/518.49
  6. Step 6: Final answer
    x = 410.56

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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.