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Finding the Fourth Proportional to 412.18, 568.80 and 280.96

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Solution

The fourth proportional to 412.18, 568.80 and 280.96 is: 387.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.18 : 568.80 = 280.96 : x
  2. Step 2: Convert to fraction form
    412.18/568.80 = 280.96/x
  3. Step 3: Cross multiply
    412.18x = 568.80 × 280.96
  4. Step 4: Simplify right side
    412.18x = 159,810.05
  5. Step 5: Solve for x
    x = 159,810.05/412.18
  6. Step 6: Final answer
    x = 387.72

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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.