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Finding the Fourth Proportional to 294.26, 440.76 and 278.28

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Solution

The fourth proportional to 294.26, 440.76 and 278.28 is: 416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.26 : 440.76 = 278.28 : x
  2. Step 2: Convert to fraction form
    294.26/440.76 = 278.28/x
  3. Step 3: Cross multiply
    294.26x = 440.76 × 278.28
  4. Step 4: Simplify right side
    294.26x = 122,654.69
  5. Step 5: Solve for x
    x = 122,654.69/294.26
  6. Step 6: Final answer
    x = 416.82

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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.