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Finding the Fourth Proportional to 477.19, 658.52 and 270.19

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Solution

The fourth proportional to 477.19, 658.52 and 270.19 is: 372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.19 : 658.52 = 270.19 : x
  2. Step 2: Convert to fraction form
    477.19/658.52 = 270.19/x
  3. Step 3: Cross multiply
    477.19x = 658.52 × 270.19
  4. Step 4: Simplify right side
    477.19x = 177,923.53
  5. Step 5: Solve for x
    x = 177,923.53/477.19
  6. Step 6: Final answer
    x = 372.86

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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.