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Finding the Fourth Proportional to 387.29, 580.05 and 241.13

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Solution

The fourth proportional to 387.29, 580.05 and 241.13 is: 361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.29 : 580.05 = 241.13 : x
  2. Step 2: Convert to fraction form
    387.29/580.05 = 241.13/x
  3. Step 3: Cross multiply
    387.29x = 580.05 × 241.13
  4. Step 4: Simplify right side
    387.29x = 139,864.56
  5. Step 5: Solve for x
    x = 139,864.56/387.29
  6. Step 6: Final answer
    x = 361.14

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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.