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Finding the Fourth Proportional to 412.03, 568.65 and 237.41

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Solution

The fourth proportional to 412.03, 568.65 and 237.41 is: 327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.03 : 568.65 = 237.41 : x
  2. Step 2: Convert to fraction form
    412.03/568.65 = 237.41/x
  3. Step 3: Cross multiply
    412.03x = 568.65 × 237.41
  4. Step 4: Simplify right side
    412.03x = 135,003.20
  5. Step 5: Solve for x
    x = 135,003.20/412.03
  6. Step 6: Final answer
    x = 327.65

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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.