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Finding the Fourth Proportional to 980.52, 1,470.52 and 287.24

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Solution

The fourth proportional to 980.52, 1,470.52 and 287.24 is: 430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.52 : 1,470.52 = 287.24 : x
  2. Step 2: Convert to fraction form
    980.52/1,470.52 = 287.24/x
  3. Step 3: Cross multiply
    980.52x = 1,470.52 × 287.24
  4. Step 4: Simplify right side
    980.52x = 422,392.16
  5. Step 5: Solve for x
    x = 422,392.16/980.52
  6. Step 6: Final answer
    x = 430.78

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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.