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Finding the Fourth Proportional to 411.98, 568.25 and 277.61

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Solution

The fourth proportional to 411.98, 568.25 and 277.61 is: 382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.98 : 568.25 = 277.61 : x
  2. Step 2: Convert to fraction form
    411.98/568.25 = 277.61/x
  3. Step 3: Cross multiply
    411.98x = 568.25 × 277.61
  4. Step 4: Simplify right side
    411.98x = 157,749.74
  5. Step 5: Solve for x
    x = 157,749.74/411.98
  6. Step 6: Final answer
    x = 382.91

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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.