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Finding the Fourth Proportional to 411.57, 568.07 and 237.02

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Solution

The fourth proportional to 411.57, 568.07 and 237.02 is: 327.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 568.07 = 237.02 : x
  2. Step 2: Convert to fraction form
    411.57/568.07 = 237.02/x
  3. Step 3: Cross multiply
    411.57x = 568.07 × 237.02
  4. Step 4: Simplify right side
    411.57x = 134,639.93
  5. Step 5: Solve for x
    x = 134,639.93/411.57
  6. Step 6: Final answer
    x = 327.14

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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.