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Finding the Fourth Proportional to 462.68, 638.46 and 263.49

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Solution

The fourth proportional to 462.68, 638.46 and 263.49 is: 363.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.68 : 638.46 = 263.49 : x
  2. Step 2: Convert to fraction form
    462.68/638.46 = 263.49/x
  3. Step 3: Cross multiply
    462.68x = 638.46 × 263.49
  4. Step 4: Simplify right side
    462.68x = 168,227.83
  5. Step 5: Solve for x
    x = 168,227.83/462.68
  6. Step 6: Final answer
    x = 363.59

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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.