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Finding the Fourth Proportional to 477, 658.34 and 270.12

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Solution

The fourth proportional to 477, 658.34 and 270.12 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477 : 658.34 = 270.12 : x
  2. Step 2: Convert to fraction form
    477/658.34 = 270.12/x
  3. Step 3: Cross multiply
    477x = 658.34 × 270.12
  4. Step 4: Simplify right side
    477x = 177,830.80
  5. Step 5: Solve for x
    x = 177,830.80/477
  6. Step 6: Final answer
    x = 372.81

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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.