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Finding the Fourth Proportional to 462.33, 638.46 and 395.55

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Solution

The fourth proportional to 462.33, 638.46 and 395.55 is: 546.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.33 : 638.46 = 395.55 : x
  2. Step 2: Convert to fraction form
    462.33/638.46 = 395.55/x
  3. Step 3: Cross multiply
    462.33x = 638.46 × 395.55
  4. Step 4: Simplify right side
    462.33x = 252,542.85
  5. Step 5: Solve for x
    x = 252,542.85/462.33
  6. Step 6: Final answer
    x = 546.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.