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Finding the Fourth Proportional to 477.34, 658.50 and 311.48

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Solution

The fourth proportional to 477.34, 658.50 and 311.48 is: 429.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.34 : 658.50 = 311.48 : x
  2. Step 2: Convert to fraction form
    477.34/658.50 = 311.48/x
  3. Step 3: Cross multiply
    477.34x = 658.50 × 311.48
  4. Step 4: Simplify right side
    477.34x = 205,109.58
  5. Step 5: Solve for x
    x = 205,109.58/477.34
  6. Step 6: Final answer
    x = 429.69

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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.