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Finding the Fourth Proportional to 518.30, 715.14 and 297.13

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Solution

The fourth proportional to 518.30, 715.14 and 297.13 is: 409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.30 : 715.14 = 297.13 : x
  2. Step 2: Convert to fraction form
    518.30/715.14 = 297.13/x
  3. Step 3: Cross multiply
    518.30x = 715.14 × 297.13
  4. Step 4: Simplify right side
    518.30x = 212,489.55
  5. Step 5: Solve for x
    x = 212,489.55/518.30
  6. Step 6: Final answer
    x = 409.97

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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.