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Finding the Fourth Proportional to 801.50, 1,202.25 and 253.67

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Solution

The fourth proportional to 801.50, 1,202.25 and 253.67 is: 380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.50 : 1,202.25 = 253.67 : x
  2. Step 2: Convert to fraction form
    801.50/1,202.25 = 253.67/x
  3. Step 3: Cross multiply
    801.50x = 1,202.25 × 253.67
  4. Step 4: Simplify right side
    801.50x = 304,974.76
  5. Step 5: Solve for x
    x = 304,974.76/801.50
  6. Step 6: Final answer
    x = 380.51

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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.