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Finding the Fourth Proportional to 424.22, 585.24 and 256.24

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Solution

The fourth proportional to 424.22, 585.24 and 256.24 is: 353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.22 : 585.24 = 256.24 : x
  2. Step 2: Convert to fraction form
    424.22/585.24 = 256.24/x
  3. Step 3: Cross multiply
    424.22x = 585.24 × 256.24
  4. Step 4: Simplify right side
    424.22x = 149,961.90
  5. Step 5: Solve for x
    x = 149,961.90/424.22
  6. Step 6: Final answer
    x = 353.50

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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.