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Finding the Fourth Proportional to 411.78, 568.26 and 256.50

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Solution

The fourth proportional to 411.78, 568.26 and 256.50 is: 353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.78 : 568.26 = 256.50 : x
  2. Step 2: Convert to fraction form
    411.78/568.26 = 256.50/x
  3. Step 3: Cross multiply
    411.78x = 568.26 × 256.50
  4. Step 4: Simplify right side
    411.78x = 145,758.69
  5. Step 5: Solve for x
    x = 145,758.69/411.78
  6. Step 6: Final answer
    x = 353.97

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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.