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Finding the Fourth Proportional to 294.80, 440.02 and 276.56

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Solution

The fourth proportional to 294.80, 440.02 and 276.56 is: 412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.80 : 440.02 = 276.56 : x
  2. Step 2: Convert to fraction form
    294.80/440.02 = 276.56/x
  3. Step 3: Cross multiply
    294.80x = 440.02 × 276.56
  4. Step 4: Simplify right side
    294.80x = 121,691.93
  5. Step 5: Solve for x
    x = 121,691.93/294.80
  6. Step 6: Final answer
    x = 412.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.