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Finding the Fourth Proportional to 513.86, 709.17 and 281

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Solution

The fourth proportional to 513.86, 709.17 and 281 is: 387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.86 : 709.17 = 281 : x
  2. Step 2: Convert to fraction form
    513.86/709.17 = 281/x
  3. Step 3: Cross multiply
    513.86x = 709.17 × 281
  4. Step 4: Simplify right side
    513.86x = 199,276.77
  5. Step 5: Solve for x
    x = 199,276.77/513.86
  6. Step 6: Final answer
    x = 387.80

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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.