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Finding the Fourth Proportional to 980.30, 1,470.07 and 432.18

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Solution

The fourth proportional to 980.30, 1,470.07 and 432.18 is: 648.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.30 : 1,470.07 = 432.18 : x
  2. Step 2: Convert to fraction form
    980.30/1,470.07 = 432.18/x
  3. Step 3: Cross multiply
    980.30x = 1,470.07 × 432.18
  4. Step 4: Simplify right side
    980.30x = 635,335.57
  5. Step 5: Solve for x
    x = 635,335.57/980.30
  6. Step 6: Final answer
    x = 648.11

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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.