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Finding the Fourth Proportional to 382.29, 574.07 and 353.87

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Solution

The fourth proportional to 382.29, 574.07 and 353.87 is: 531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.29 : 574.07 = 353.87 : x
  2. Step 2: Convert to fraction form
    382.29/574.07 = 353.87/x
  3. Step 3: Cross multiply
    382.29x = 574.07 × 353.87
  4. Step 4: Simplify right side
    382.29x = 203,141.51
  5. Step 5: Solve for x
    x = 203,141.51/382.29
  6. Step 6: Final answer
    x = 531.38

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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.