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Finding the Fourth Proportional to 980.49, 1,470.65 and 331.23

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Solution

The fourth proportional to 980.49, 1,470.65 and 331.23 is: 496.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.49 : 1,470.65 = 331.23 : x
  2. Step 2: Convert to fraction form
    980.49/1,470.65 = 331.23/x
  3. Step 3: Cross multiply
    980.49x = 1,470.65 × 331.23
  4. Step 4: Simplify right side
    980.49x = 487,121.74
  5. Step 5: Solve for x
    x = 487,121.74/980.49
  6. Step 6: Final answer
    x = 496.81

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Half scale
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Double scale
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1.5x scale

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.