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Finding the Fourth Proportional to 494.47, 741.49 and 234.39

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Solution

The fourth proportional to 494.47, 741.49 and 234.39 is: 351.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.47 : 741.49 = 234.39 : x
  2. Step 2: Convert to fraction form
    494.47/741.49 = 234.39/x
  3. Step 3: Cross multiply
    494.47x = 741.49 × 234.39
  4. Step 4: Simplify right side
    494.47x = 173,800.04
  5. Step 5: Solve for x
    x = 173,800.04/494.47
  6. Step 6: Final answer
    x = 351.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.