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Finding the Fourth Proportional to 411.83, 568.34 and 237.17

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Solution

The fourth proportional to 411.83, 568.34 and 237.17 is: 327.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.83 : 568.34 = 237.17 : x
  2. Step 2: Convert to fraction form
    411.83/568.34 = 237.17/x
  3. Step 3: Cross multiply
    411.83x = 568.34 × 237.17
  4. Step 4: Simplify right side
    411.83x = 134,793.20
  5. Step 5: Solve for x
    x = 134,793.20/411.83
  6. Step 6: Final answer
    x = 327.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.