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Finding the Fourth Proportional to 383.74, 575.24 and 239.38

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Solution

The fourth proportional to 383.74, 575.24 and 239.38 is: 358.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.74 : 575.24 = 239.38 : x
  2. Step 2: Convert to fraction form
    383.74/575.24 = 239.38/x
  3. Step 3: Cross multiply
    383.74x = 575.24 × 239.38
  4. Step 4: Simplify right side
    383.74x = 137,700.95
  5. Step 5: Solve for x
    x = 137,700.95/383.74
  6. Step 6: Final answer
    x = 358.84

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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.