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Finding the Fourth Proportional to 409.80, 568.11 and 387.88

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Solution

The fourth proportional to 409.80, 568.11 and 387.88 is: 537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.80 : 568.11 = 387.88 : x
  2. Step 2: Convert to fraction form
    409.80/568.11 = 387.88/x
  3. Step 3: Cross multiply
    409.80x = 568.11 × 387.88
  4. Step 4: Simplify right side
    409.80x = 220,358.51
  5. Step 5: Solve for x
    x = 220,358.51/409.80
  6. Step 6: Final answer
    x = 537.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.