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Finding the Fourth Proportional to 658.73, 909.14 and 378.96

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Solution

The fourth proportional to 658.73, 909.14 and 378.96 is: 523.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.73 : 909.14 = 378.96 : x
  2. Step 2: Convert to fraction form
    658.73/909.14 = 378.96/x
  3. Step 3: Cross multiply
    658.73x = 909.14 × 378.96
  4. Step 4: Simplify right side
    658.73x = 344,525.80
  5. Step 5: Solve for x
    x = 344,525.80/658.73
  6. Step 6: Final answer
    x = 523.02

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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.