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Finding the Fourth Proportional to 412.31, 568.97 and 246.52

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Solution

The fourth proportional to 412.31, 568.97 and 246.52 is: 340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.31 : 568.97 = 246.52 : x
  2. Step 2: Convert to fraction form
    412.31/568.97 = 246.52/x
  3. Step 3: Cross multiply
    412.31x = 568.97 × 246.52
  4. Step 4: Simplify right side
    412.31x = 140,262.48
  5. Step 5: Solve for x
    x = 140,262.48/412.31
  6. Step 6: Final answer
    x = 340.19

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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.