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Finding the Fourth Proportional to 939.85, 1,410.05 and 281.75

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Solution

The fourth proportional to 939.85, 1,410.05 and 281.75 is: 422.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.85 : 1,410.05 = 281.75 : x
  2. Step 2: Convert to fraction form
    939.85/1,410.05 = 281.75/x
  3. Step 3: Cross multiply
    939.85x = 1,410.05 × 281.75
  4. Step 4: Simplify right side
    939.85x = 397,273.13
  5. Step 5: Solve for x
    x = 397,273.13/939.85
  6. Step 6: Final answer
    x = 422.70

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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.