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Finding the Fourth Proportional to 424.56, 585.42 and 326.10

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Solution

The fourth proportional to 424.56, 585.42 and 326.10 is: 449.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.56 : 585.42 = 326.10 : x
  2. Step 2: Convert to fraction form
    424.56/585.42 = 326.10/x
  3. Step 3: Cross multiply
    424.56x = 585.42 × 326.10
  4. Step 4: Simplify right side
    424.56x = 190,905.46
  5. Step 5: Solve for x
    x = 190,905.46/424.56
  6. Step 6: Final answer
    x = 449.65

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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.