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Finding the Fourth Proportional to 424.06, 585.19 and 249.40

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Solution

The fourth proportional to 424.06, 585.19 and 249.40 is: 344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.06 : 585.19 = 249.40 : x
  2. Step 2: Convert to fraction form
    424.06/585.19 = 249.40/x
  3. Step 3: Cross multiply
    424.06x = 585.19 × 249.40
  4. Step 4: Simplify right side
    424.06x = 145,946.39
  5. Step 5: Solve for x
    x = 145,946.39/424.06
  6. Step 6: Final answer
    x = 344.16

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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.