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Finding the Fourth Proportional to 980.41, 1,470.75 and 331.33

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Solution

The fourth proportional to 980.41, 1,470.75 and 331.33 is: 497.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.41 : 1,470.75 = 331.33 : x
  2. Step 2: Convert to fraction form
    980.41/1,470.75 = 331.33/x
  3. Step 3: Cross multiply
    980.41x = 1,470.75 × 331.33
  4. Step 4: Simplify right side
    980.41x = 487,303.60
  5. Step 5: Solve for x
    x = 487,303.60/980.41
  6. Step 6: Final answer
    x = 497.04

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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.