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Finding the Fourth Proportional to 486.14, 729.22 and 381.38

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Solution

The fourth proportional to 486.14, 729.22 and 381.38 is: 572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.14 : 729.22 = 381.38 : x
  2. Step 2: Convert to fraction form
    486.14/729.22 = 381.38/x
  3. Step 3: Cross multiply
    486.14x = 729.22 × 381.38
  4. Step 4: Simplify right side
    486.14x = 278,109.92
  5. Step 5: Solve for x
    x = 278,109.92/486.14
  6. Step 6: Final answer
    x = 572.08

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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.