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Finding the Fourth Proportional to 293.78, 440.64 and 77.38

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Solution

The fourth proportional to 293.78, 440.64 and 77.38 is: 116.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.78 : 440.64 = 77.38 : x
  2. Step 2: Convert to fraction form
    293.78/440.64 = 77.38/x
  3. Step 3: Cross multiply
    293.78x = 440.64 × 77.38
  4. Step 4: Simplify right side
    293.78x = 34,095.62
  5. Step 5: Solve for x
    x = 34,095.62/293.78
  6. Step 6: Final answer
    x = 116.06

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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.