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Finding the Fourth Proportional to 380.64, 572.02 and 226.59

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Solution

The fourth proportional to 380.64, 572.02 and 226.59 is: 340.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 572.02 = 226.59 : x
  2. Step 2: Convert to fraction form
    380.64/572.02 = 226.59/x
  3. Step 3: Cross multiply
    380.64x = 572.02 × 226.59
  4. Step 4: Simplify right side
    380.64x = 129,614.01
  5. Step 5: Solve for x
    x = 129,614.01/380.64
  6. Step 6: Final answer
    x = 340.52

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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.