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Finding the Fourth Proportional to 454.18, 681.27 and 381.28

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Solution

The fourth proportional to 454.18, 681.27 and 381.28 is: 571.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.18 : 681.27 = 381.28 : x
  2. Step 2: Convert to fraction form
    454.18/681.27 = 381.28/x
  3. Step 3: Cross multiply
    454.18x = 681.27 × 381.28
  4. Step 4: Simplify right side
    454.18x = 259,754.63
  5. Step 5: Solve for x
    x = 259,754.63/454.18
  6. Step 6: Final answer
    x = 571.92

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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.