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Finding the Fourth Proportional to 513.85, 709.16 and 292.87

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Solution

The fourth proportional to 513.85, 709.16 and 292.87 is: 404.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.85 : 709.16 = 292.87 : x
  2. Step 2: Convert to fraction form
    513.85/709.16 = 292.87/x
  3. Step 3: Cross multiply
    513.85x = 709.16 × 292.87
  4. Step 4: Simplify right side
    513.85x = 207,691.69
  5. Step 5: Solve for x
    x = 207,691.69/513.85
  6. Step 6: Final answer
    x = 404.19

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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.