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Finding the Fourth Proportional to 801.75, 1,202.32 and 246.29

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Solution

The fourth proportional to 801.75, 1,202.32 and 246.29 is: 369.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.75 : 1,202.32 = 246.29 : x
  2. Step 2: Convert to fraction form
    801.75/1,202.32 = 246.29/x
  3. Step 3: Cross multiply
    801.75x = 1,202.32 × 246.29
  4. Step 4: Simplify right side
    801.75x = 296,119.39
  5. Step 5: Solve for x
    x = 296,119.39/801.75
  6. Step 6: Final answer
    x = 369.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.