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Finding the Fourth Proportional to 798.32, 1,197.48 and 221.24

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Solution

The fourth proportional to 798.32, 1,197.48 and 221.24 is: 331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.32 : 1,197.48 = 221.24 : x
  2. Step 2: Convert to fraction form
    798.32/1,197.48 = 221.24/x
  3. Step 3: Cross multiply
    798.32x = 1,197.48 × 221.24
  4. Step 4: Simplify right side
    798.32x = 264,930.48
  5. Step 5: Solve for x
    x = 264,930.48/798.32
  6. Step 6: Final answer
    x = 331.86

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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.