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Finding the Fourth Proportional to 384.38, 575.61 and 221.57

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Solution

The fourth proportional to 384.38, 575.61 and 221.57 is: 331.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.38 : 575.61 = 221.57 : x
  2. Step 2: Convert to fraction form
    384.38/575.61 = 221.57/x
  3. Step 3: Cross multiply
    384.38x = 575.61 × 221.57
  4. Step 4: Simplify right side
    384.38x = 127,537.91
  5. Step 5: Solve for x
    x = 127,537.91/384.38
  6. Step 6: Final answer
    x = 331.80

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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.