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Finding the Fourth Proportional to 613.54, 921.22 and 249.04

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Solution

The fourth proportional to 613.54, 921.22 and 249.04 is: 373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.54 : 921.22 = 249.04 : x
  2. Step 2: Convert to fraction form
    613.54/921.22 = 249.04/x
  3. Step 3: Cross multiply
    613.54x = 921.22 × 249.04
  4. Step 4: Simplify right side
    613.54x = 229,422.56
  5. Step 5: Solve for x
    x = 229,422.56/613.54
  6. Step 6: Final answer
    x = 373.93

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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.