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Finding the Fourth Proportional to 513.62, 708.81 and 280.76

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Solution

The fourth proportional to 513.62, 708.81 and 280.76 is: 387.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.62 : 708.81 = 280.76 : x
  2. Step 2: Convert to fraction form
    513.62/708.81 = 280.76/x
  3. Step 3: Cross multiply
    513.62x = 708.81 × 280.76
  4. Step 4: Simplify right side
    513.62x = 199,005.50
  5. Step 5: Solve for x
    x = 199,005.50/513.62
  6. Step 6: Final answer
    x = 387.46

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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.