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Finding the Fourth Proportional to 412.26, 568.90 and 237.72

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Solution

The fourth proportional to 412.26, 568.90 and 237.72 is: 328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.26 : 568.90 = 237.72 : x
  2. Step 2: Convert to fraction form
    412.26/568.90 = 237.72/x
  3. Step 3: Cross multiply
    412.26x = 568.90 × 237.72
  4. Step 4: Simplify right side
    412.26x = 135,238.91
  5. Step 5: Solve for x
    x = 135,238.91/412.26
  6. Step 6: Final answer
    x = 328.04

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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.