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Finding the Fourth Proportional to 518.73, 715.92 and 297.64

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Solution

The fourth proportional to 518.73, 715.92 and 297.64 is: 410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.73 : 715.92 = 297.64 : x
  2. Step 2: Convert to fraction form
    518.73/715.92 = 297.64/x
  3. Step 3: Cross multiply
    518.73x = 715.92 × 297.64
  4. Step 4: Simplify right side
    518.73x = 213,084.94
  5. Step 5: Solve for x
    x = 213,084.94/518.73
  6. Step 6: Final answer
    x = 410.78

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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.