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Finding the Fourth Proportional to 980.61, 1,470.92 and 331.35

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Solution

The fourth proportional to 980.61, 1,470.92 and 331.35 is: 497.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.61 : 1,470.92 = 331.35 : x
  2. Step 2: Convert to fraction form
    980.61/1,470.92 = 331.35/x
  3. Step 3: Cross multiply
    980.61x = 1,470.92 × 331.35
  4. Step 4: Simplify right side
    980.61x = 487,387.69
  5. Step 5: Solve for x
    x = 487,387.69/980.61
  6. Step 6: Final answer
    x = 497.03

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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.