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Finding the Fourth Proportional to 513.78, 709.02 and 280.91

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Solution

The fourth proportional to 513.78, 709.02 and 280.91 is: 387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.78 : 709.02 = 280.91 : x
  2. Step 2: Convert to fraction form
    513.78/709.02 = 280.91/x
  3. Step 3: Cross multiply
    513.78x = 709.02 × 280.91
  4. Step 4: Simplify right side
    513.78x = 199,170.81
  5. Step 5: Solve for x
    x = 199,170.81/513.78
  6. Step 6: Final answer
    x = 387.66

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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.