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Finding the Fourth Proportional to 411.58, 568.14 and 254.24

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Solution

The fourth proportional to 411.58, 568.14 and 254.24 is: 350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.58 : 568.14 = 254.24 : x
  2. Step 2: Convert to fraction form
    411.58/568.14 = 254.24/x
  3. Step 3: Cross multiply
    411.58x = 568.14 × 254.24
  4. Step 4: Simplify right side
    411.58x = 144,439.80
  5. Step 5: Solve for x
    x = 144,439.80/411.58
  6. Step 6: Final answer
    x = 350.94

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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.