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Finding the Fourth Proportional to 293.72, 440.58 and 77.28

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Solution

The fourth proportional to 293.72, 440.58 and 77.28 is: 115.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.72 : 440.58 = 77.28 : x
  2. Step 2: Convert to fraction form
    293.72/440.58 = 77.28/x
  3. Step 3: Cross multiply
    293.72x = 440.58 × 77.28
  4. Step 4: Simplify right side
    293.72x = 34,048.02
  5. Step 5: Solve for x
    x = 34,048.02/293.72
  6. Step 6: Final answer
    x = 115.92

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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.