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Finding the Fourth Proportional to 665.62, 998.92 and 249.53

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Solution

The fourth proportional to 665.62, 998.92 and 249.53 is: 374.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.62 : 998.92 = 249.53 : x
  2. Step 2: Convert to fraction form
    665.62/998.92 = 249.53/x
  3. Step 3: Cross multiply
    665.62x = 998.92 × 249.53
  4. Step 4: Simplify right side
    665.62x = 249,259.26
  5. Step 5: Solve for x
    x = 249,259.26/665.62
  6. Step 6: Final answer
    x = 374.48

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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.