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Finding the Fourth Proportional to 1,494.25, 2,241.17 and 398.62

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Solution

The fourth proportional to 1,494.25, 2,241.17 and 398.62 is: 597.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,494.25 : 2,241.17 = 398.62 : x
  2. Step 2: Convert to fraction form
    1,494.25/2,241.17 = 398.62/x
  3. Step 3: Cross multiply
    1,494.25x = 2,241.17 × 398.62
  4. Step 4: Simplify right side
    1,494.25x = 893,377.49
  5. Step 5: Solve for x
    x = 893,377.49/1,494.25
  6. Step 6: Final answer
    x = 597.88

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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.