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Finding the Fourth Proportional to 463.25, 639.55 and 321.66

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Solution

The fourth proportional to 463.25, 639.55 and 321.66 is: 444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.25 : 639.55 = 321.66 : x
  2. Step 2: Convert to fraction form
    463.25/639.55 = 321.66/x
  3. Step 3: Cross multiply
    463.25x = 639.55 × 321.66
  4. Step 4: Simplify right side
    463.25x = 205,716.04
  5. Step 5: Solve for x
    x = 205,716.04/463.25
  6. Step 6: Final answer
    x = 444.07

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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.