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Finding the Fourth Proportional to 411.70, 568.17 and 237.07

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Solution

The fourth proportional to 411.70, 568.17 and 237.07 is: 327.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.70 : 568.17 = 237.07 : x
  2. Step 2: Convert to fraction form
    411.70/568.17 = 237.07/x
  3. Step 3: Cross multiply
    411.70x = 568.17 × 237.07
  4. Step 4: Simplify right side
    411.70x = 134,696.06
  5. Step 5: Solve for x
    x = 134,696.06/411.70
  6. Step 6: Final answer
    x = 327.17

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Why These Related Problems?

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