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Finding the Fourth Proportional to 477.36, 658.80 and 311.52

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Solution

The fourth proportional to 477.36, 658.80 and 311.52 is: 429.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 658.80 = 311.52 : x
  2. Step 2: Convert to fraction form
    477.36/658.80 = 311.52/x
  3. Step 3: Cross multiply
    477.36x = 658.80 × 311.52
  4. Step 4: Simplify right side
    477.36x = 205,229.38
  5. Step 5: Solve for x
    x = 205,229.38/477.36
  6. Step 6: Final answer
    x = 429.93

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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.