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Finding the Fourth Proportional to 412.14, 568.74 and 237.54

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Solution

The fourth proportional to 412.14, 568.74 and 237.54 is: 327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.14 : 568.74 = 237.54 : x
  2. Step 2: Convert to fraction form
    412.14/568.74 = 237.54/x
  3. Step 3: Cross multiply
    412.14x = 568.74 × 237.54
  4. Step 4: Simplify right side
    412.14x = 135,098.50
  5. Step 5: Solve for x
    x = 135,098.50/412.14
  6. Step 6: Final answer
    x = 327.80

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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.