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Finding the Fourth Proportional to 477.12, 658.40 and 270.16

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Solution

The fourth proportional to 477.12, 658.40 and 270.16 is: 372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.12 : 658.40 = 270.16 : x
  2. Step 2: Convert to fraction form
    477.12/658.40 = 270.16/x
  3. Step 3: Cross multiply
    477.12x = 658.40 × 270.16
  4. Step 4: Simplify right side
    477.12x = 177,873.34
  5. Step 5: Solve for x
    x = 177,873.34/477.12
  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.