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Finding the Fourth Proportional to 513.95, 709.24 and 281.07

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Solution

The fourth proportional to 513.95, 709.24 and 281.07 is: 387.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.95 : 709.24 = 281.07 : x
  2. Step 2: Convert to fraction form
    513.95/709.24 = 281.07/x
  3. Step 3: Cross multiply
    513.95x = 709.24 × 281.07
  4. Step 4: Simplify right side
    513.95x = 199,346.09
  5. Step 5: Solve for x
    x = 199,346.09/513.95
  6. Step 6: Final answer
    x = 387.87

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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.