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Finding the Fourth Proportional to 980.65, 1,470.93 and 331.39

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Solution

The fourth proportional to 980.65, 1,470.93 and 331.39 is: 497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.65 : 1,470.93 = 331.39 : x
  2. Step 2: Convert to fraction form
    980.65/1,470.93 = 331.39/x
  3. Step 3: Cross multiply
    980.65x = 1,470.93 × 331.39
  4. Step 4: Simplify right side
    980.65x = 487,446.57
  5. Step 5: Solve for x
    x = 487,446.57/980.65
  6. Step 6: Final answer
    x = 497.07

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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.