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Finding the Fourth Proportional to 293.29, 439.89 and 76.89

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Solution

The fourth proportional to 293.29, 439.89 and 76.89 is: 115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.29 : 439.89 = 76.89 : x
  2. Step 2: Convert to fraction form
    293.29/439.89 = 76.89/x
  3. Step 3: Cross multiply
    293.29x = 439.89 × 76.89
  4. Step 4: Simplify right side
    293.29x = 33,820.94
  5. Step 5: Solve for x
    x = 33,820.94/293.29
  6. Step 6: Final answer
    x = 115.32

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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.