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Finding the Fourth Proportional to 1,493.92, 2,241.06 and 398.31

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Solution

The fourth proportional to 1,493.92, 2,241.06 and 398.31 is: 597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.92 : 2,241.06 = 398.31 : x
  2. Step 2: Convert to fraction form
    1,493.92/2,241.06 = 398.31/x
  3. Step 3: Cross multiply
    1,493.92x = 2,241.06 × 398.31
  4. Step 4: Simplify right side
    1,493.92x = 892,636.61
  5. Step 5: Solve for x
    x = 892,636.61/1,493.92
  6. Step 6: Final answer
    x = 597.51

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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.