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Finding the Fourth Proportional to 477.55, 658.22 and 329.86

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Solution

The fourth proportional to 477.55, 658.22 and 329.86 is: 454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.55 : 658.22 = 329.86 : x
  2. Step 2: Convert to fraction form
    477.55/658.22 = 329.86/x
  3. Step 3: Cross multiply
    477.55x = 658.22 × 329.86
  4. Step 4: Simplify right side
    477.55x = 217,120.45
  5. Step 5: Solve for x
    x = 217,120.45/477.55
  6. Step 6: Final answer
    x = 454.65

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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.