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Finding the Fourth Proportional to 513.86, 709.14 and 292.85

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Solution

The fourth proportional to 513.86, 709.14 and 292.85 is: 404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.86 : 709.14 = 292.85 : x
  2. Step 2: Convert to fraction form
    513.86/709.14 = 292.85/x
  3. Step 3: Cross multiply
    513.86x = 709.14 × 292.85
  4. Step 4: Simplify right side
    513.86x = 207,670.21
  5. Step 5: Solve for x
    x = 207,670.21/513.86
  6. Step 6: Final answer
    x = 404.14

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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.