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Finding the Fourth Proportional to 462.42, 638.37 and 322.65

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Solution

The fourth proportional to 462.42, 638.37 and 322.65 is: 445.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.42 : 638.37 = 322.65 : x
  2. Step 2: Convert to fraction form
    462.42/638.37 = 322.65/x
  3. Step 3: Cross multiply
    462.42x = 638.37 × 322.65
  4. Step 4: Simplify right side
    462.42x = 205,970.08
  5. Step 5: Solve for x
    x = 205,970.08/462.42
  6. Step 6: Final answer
    x = 445.42

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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.