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Finding the Fourth Proportional to 412.37, 568.82 and 246.57

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Solution

The fourth proportional to 412.37, 568.82 and 246.57 is: 340.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.37 : 568.82 = 246.57 : x
  2. Step 2: Convert to fraction form
    412.37/568.82 = 246.57/x
  3. Step 3: Cross multiply
    412.37x = 568.82 × 246.57
  4. Step 4: Simplify right side
    412.37x = 140,252.71
  5. Step 5: Solve for x
    x = 140,252.71/412.37
  6. Step 6: Final answer
    x = 340.12

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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.