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Finding the Fourth Proportional to 477.23, 658.76 and 311.38

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Solution

The fourth proportional to 477.23, 658.76 and 311.38 is: 429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.23 : 658.76 = 311.38 : x
  2. Step 2: Convert to fraction form
    477.23/658.76 = 311.38/x
  3. Step 3: Cross multiply
    477.23x = 658.76 × 311.38
  4. Step 4: Simplify right side
    477.23x = 205,121.49
  5. Step 5: Solve for x
    x = 205,121.49/477.23
  6. Step 6: Final answer
    x = 429.82

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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.