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Finding the Fourth Proportional to 424.78, 586.22 and 256.79

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Solution

The fourth proportional to 424.78, 586.22 and 256.79 is: 354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.78 : 586.22 = 256.79 : x
  2. Step 2: Convert to fraction form
    424.78/586.22 = 256.79/x
  3. Step 3: Cross multiply
    424.78x = 586.22 × 256.79
  4. Step 4: Simplify right side
    424.78x = 150,536.31
  5. Step 5: Solve for x
    x = 150,536.31/424.78
  6. Step 6: Final answer
    x = 354.38

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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.