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Finding the Fourth Proportional to 424.22, 585.42 and 247.12

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Solution

The fourth proportional to 424.22, 585.42 and 247.12 is: 341.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.22 : 585.42 = 247.12 : x
  2. Step 2: Convert to fraction form
    424.22/585.42 = 247.12/x
  3. Step 3: Cross multiply
    424.22x = 585.42 × 247.12
  4. Step 4: Simplify right side
    424.22x = 144,668.99
  5. Step 5: Solve for x
    x = 144,668.99/424.22
  6. Step 6: Final answer
    x = 341.02

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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.