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Finding the Fourth Proportional to 293.24, 440.50 and 247.68

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Solution

The fourth proportional to 293.24, 440.50 and 247.68 is: 372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.24 : 440.50 = 247.68 : x
  2. Step 2: Convert to fraction form
    293.24/440.50 = 247.68/x
  3. Step 3: Cross multiply
    293.24x = 440.50 × 247.68
  4. Step 4: Simplify right side
    293.24x = 109,103.04
  5. Step 5: Solve for x
    x = 109,103.04/293.24
  6. Step 6: Final answer
    x = 372.06

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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.