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Finding the Fourth Proportional to 411.81, 568.29 and 237.15

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Solution

The fourth proportional to 411.81, 568.29 and 237.15 is: 327.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.81 : 568.29 = 237.15 : x
  2. Step 2: Convert to fraction form
    411.81/568.29 = 237.15/x
  3. Step 3: Cross multiply
    411.81x = 568.29 × 237.15
  4. Step 4: Simplify right side
    411.81x = 134,768.79
  5. Step 5: Solve for x
    x = 134,768.79/411.81
  6. Step 6: Final answer
    x = 327.26

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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.