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Finding the Fourth Proportional to 980.46, 1,470.30 and 432.25

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Solution

The fourth proportional to 980.46, 1,470.30 and 432.25 is: 648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.46 : 1,470.30 = 432.25 : x
  2. Step 2: Convert to fraction form
    980.46/1,470.30 = 432.25/x
  3. Step 3: Cross multiply
    980.46x = 1,470.30 × 432.25
  4. Step 4: Simplify right side
    980.46x = 635,535.01
  5. Step 5: Solve for x
    x = 635,535.01/980.46
  6. Step 6: Final answer
    x = 648.20

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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.