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Finding the Fourth Proportional to 411.75, 568.35 and 237.20

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Solution

The fourth proportional to 411.75, 568.35 and 237.20 is: 327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 568.35 = 237.20 : x
  2. Step 2: Convert to fraction form
    411.75/568.35 = 237.20/x
  3. Step 3: Cross multiply
    411.75x = 568.35 × 237.20
  4. Step 4: Simplify right side
    411.75x = 134,809.78
  5. Step 5: Solve for x
    x = 134,809.78/411.75
  6. Step 6: Final answer
    x = 327.41

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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.