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Finding the Fourth Proportional to 412.32, 568.99 and 246.45

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Solution

The fourth proportional to 412.32, 568.99 and 246.45 is: 340.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.32 : 568.99 = 246.45 : x
  2. Step 2: Convert to fraction form
    412.32/568.99 = 246.45/x
  3. Step 3: Cross multiply
    412.32x = 568.99 × 246.45
  4. Step 4: Simplify right side
    412.32x = 140,227.59
  5. Step 5: Solve for x
    x = 140,227.59/412.32
  6. Step 6: Final answer
    x = 340.09

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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.