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Finding the Fourth Proportional to 798.28, 1,197.20 and 278

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Solution

The fourth proportional to 798.28, 1,197.20 and 278 is: 416.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.28 : 1,197.20 = 278 : x
  2. Step 2: Convert to fraction form
    798.28/1,197.20 = 278/x
  3. Step 3: Cross multiply
    798.28x = 1,197.20 × 278
  4. Step 4: Simplify right side
    798.28x = 332,821.60
  5. Step 5: Solve for x
    x = 332,821.60/798.28
  6. Step 6: Final answer
    x = 416.92

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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.