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Finding the Fourth Proportional to 477.70, 658.70 and 311.60

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Solution

The fourth proportional to 477.70, 658.70 and 311.60 is: 429.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.70 : 658.70 = 311.60 : x
  2. Step 2: Convert to fraction form
    477.70/658.70 = 311.60/x
  3. Step 3: Cross multiply
    477.70x = 658.70 × 311.60
  4. Step 4: Simplify right side
    477.70x = 205,250.92
  5. Step 5: Solve for x
    x = 205,250.92/477.70
  6. Step 6: Final answer
    x = 429.66

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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.