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Finding the Fourth Proportional to 513.20, 708.20 and 280.32

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Solution

The fourth proportional to 513.20, 708.20 and 280.32 is: 386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.20 : 708.20 = 280.32 : x
  2. Step 2: Convert to fraction form
    513.20/708.20 = 280.32/x
  3. Step 3: Cross multiply
    513.20x = 708.20 × 280.32
  4. Step 4: Simplify right side
    513.20x = 198,521.22
  5. Step 5: Solve for x
    x = 198,521.22/513.20
  6. Step 6: Final answer
    x = 386.83

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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.