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Finding the Fourth Proportional to 801.46, 1,202.34 and 314.24

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Solution

The fourth proportional to 801.46, 1,202.34 and 314.24 is: 471.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.46 : 1,202.34 = 314.24 : x
  2. Step 2: Convert to fraction form
    801.46/1,202.34 = 314.24/x
  3. Step 3: Cross multiply
    801.46x = 1,202.34 × 314.24
  4. Step 4: Simplify right side
    801.46x = 377,823.32
  5. Step 5: Solve for x
    x = 377,823.32/801.46
  6. Step 6: Final answer
    x = 471.42

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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.