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Finding the Fourth Proportional to 980.36, 1,470.56 and 287.10

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Solution

The fourth proportional to 980.36, 1,470.56 and 287.10 is: 430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.36 : 1,470.56 = 287.10 : x
  2. Step 2: Convert to fraction form
    980.36/1,470.56 = 287.10/x
  3. Step 3: Cross multiply
    980.36x = 1,470.56 × 287.10
  4. Step 4: Simplify right side
    980.36x = 422,197.78
  5. Step 5: Solve for x
    x = 422,197.78/980.36
  6. Step 6: Final answer
    x = 430.66

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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.