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Finding the Fourth Proportional to 412.10, 568.65 and 246.29

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Solution

The fourth proportional to 412.10, 568.65 and 246.29 is: 339.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.10 : 568.65 = 246.29 : x
  2. Step 2: Convert to fraction form
    412.10/568.65 = 246.29/x
  3. Step 3: Cross multiply
    412.10x = 568.65 × 246.29
  4. Step 4: Simplify right side
    412.10x = 140,049.97
  5. Step 5: Solve for x
    x = 140,049.97/412.10
  6. Step 6: Final answer
    x = 339.84

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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.