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Finding the Fourth Proportional to 663.79, 995.23 and 293.42

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Solution

The fourth proportional to 663.79, 995.23 and 293.42 is: 439.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.79 : 995.23 = 293.42 : x
  2. Step 2: Convert to fraction form
    663.79/995.23 = 293.42/x
  3. Step 3: Cross multiply
    663.79x = 995.23 × 293.42
  4. Step 4: Simplify right side
    663.79x = 292,015.92
  5. Step 5: Solve for x
    x = 292,015.92/663.79
  6. Step 6: Final answer
    x = 439.92

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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.