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Finding the Fourth Proportional to 801.50, 1,202.38 and 281.64

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Solution

The fourth proportional to 801.50, 1,202.38 and 281.64 is: 422.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,202.38 = 281.64 : x
  2. Step 2: Convert to fraction form
    801.50/1,202.38 = 281.64/x
  3. Step 3: Cross multiply
    801.50x = 1,202.38 × 281.64
  4. Step 4: Simplify right side
    801.50x = 338,638.30
  5. Step 5: Solve for x
    x = 338,638.30/801.50
  6. Step 6: Final answer
    x = 422.51

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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.