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Finding the Fourth Proportional to 412.09, 568.77 and 237.53

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Solution

The fourth proportional to 412.09, 568.77 and 237.53 is: 327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.09 : 568.77 = 237.53 : x
  2. Step 2: Convert to fraction form
    412.09/568.77 = 237.53/x
  3. Step 3: Cross multiply
    412.09x = 568.77 × 237.53
  4. Step 4: Simplify right side
    412.09x = 135,099.94
  5. Step 5: Solve for x
    x = 135,099.94/412.09
  6. Step 6: Final answer
    x = 327.84

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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.