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Finding the Fourth Proportional to 462.32, 636.92 and 322.18

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Solution

The fourth proportional to 462.32, 636.92 and 322.18 is: 443.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.32 : 636.92 = 322.18 : x
  2. Step 2: Convert to fraction form
    462.32/636.92 = 322.18/x
  3. Step 3: Cross multiply
    462.32x = 636.92 × 322.18
  4. Step 4: Simplify right side
    462.32x = 205,204.37
  5. Step 5: Solve for x
    x = 205,204.37/462.32
  6. Step 6: Final answer
    x = 443.86

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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.