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Finding the Fourth Proportional to 411.93, 568.58 and 237.39

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Solution

The fourth proportional to 411.93, 568.58 and 237.39 is: 327.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.93 : 568.58 = 237.39 : x
  2. Step 2: Convert to fraction form
    411.93/568.58 = 237.39/x
  3. Step 3: Cross multiply
    411.93x = 568.58 × 237.39
  4. Step 4: Simplify right side
    411.93x = 134,974.02
  5. Step 5: Solve for x
    x = 134,974.02/411.93
  6. Step 6: Final answer
    x = 327.66

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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.