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Finding the Fourth Proportional to 980, 1,470.24 and 296

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Solution

The fourth proportional to 980, 1,470.24 and 296 is: 444.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,470.24 = 296 : x
  2. Step 2: Convert to fraction form
    980/1,470.24 = 296/x
  3. Step 3: Cross multiply
    980x = 1,470.24 × 296
  4. Step 4: Simplify right side
    980x = 435,191.04
  5. Step 5: Solve for x
    x = 435,191.04/980
  6. Step 6: Final answer
    x = 444.07

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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.