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Finding the Fourth Proportional to 574.42, 861.36 and 330.52

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Solution

The fourth proportional to 574.42, 861.36 and 330.52 is: 495.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.42 : 861.36 = 330.52 : x
  2. Step 2: Convert to fraction form
    574.42/861.36 = 330.52/x
  3. Step 3: Cross multiply
    574.42x = 861.36 × 330.52
  4. Step 4: Simplify right side
    574.42x = 284,696.71
  5. Step 5: Solve for x
    x = 284,696.71/574.42
  6. Step 6: Final answer
    x = 495.62

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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.