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Finding the Fourth Proportional to 462.41, 638 and 322.37

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Solution

The fourth proportional to 462.41, 638 and 322.37 is: 444.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.41 : 638 = 322.37 : x
  2. Step 2: Convert to fraction form
    462.41/638 = 322.37/x
  3. Step 3: Cross multiply
    462.41x = 638 × 322.37
  4. Step 4: Simplify right side
    462.41x = 205,672.06
  5. Step 5: Solve for x
    x = 205,672.06/462.41
  6. Step 6: Final answer
    x = 444.78

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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.