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Finding the Fourth Proportional to 427.18, 639.54 and 382.66

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Solution

The fourth proportional to 427.18, 639.54 and 382.66 is: 572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.18 : 639.54 = 382.66 : x
  2. Step 2: Convert to fraction form
    427.18/639.54 = 382.66/x
  3. Step 3: Cross multiply
    427.18x = 639.54 × 382.66
  4. Step 4: Simplify right side
    427.18x = 244,723.70
  5. Step 5: Solve for x
    x = 244,723.70/427.18
  6. Step 6: Final answer
    x = 572.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.