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Finding the Fourth Proportional to 424.36, 585.63 and 256.42

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Solution

The fourth proportional to 424.36, 585.63 and 256.42 is: 353.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.36 : 585.63 = 256.42 : x
  2. Step 2: Convert to fraction form
    424.36/585.63 = 256.42/x
  3. Step 3: Cross multiply
    424.36x = 585.63 × 256.42
  4. Step 4: Simplify right side
    424.36x = 150,167.24
  5. Step 5: Solve for x
    x = 150,167.24/424.36
  6. Step 6: Final answer
    x = 353.87

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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.