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Finding the Fourth Proportional to 658.68, 987.92 and 263.34

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Solution

The fourth proportional to 658.68, 987.92 and 263.34 is: 394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.68 : 987.92 = 263.34 : x
  2. Step 2: Convert to fraction form
    658.68/987.92 = 263.34/x
  3. Step 3: Cross multiply
    658.68x = 987.92 × 263.34
  4. Step 4: Simplify right side
    658.68x = 260,157.54
  5. Step 5: Solve for x
    x = 260,157.54/658.68
  6. Step 6: Final answer
    x = 394.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.