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Finding the Fourth Proportional to 980.64, 1,470.93 and 296.64

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Solution

The fourth proportional to 980.64, 1,470.93 and 296.64 is: 444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.64 : 1,470.93 = 296.64 : x
  2. Step 2: Convert to fraction form
    980.64/1,470.93 = 296.64/x
  3. Step 3: Cross multiply
    980.64x = 1,470.93 × 296.64
  4. Step 4: Simplify right side
    980.64x = 436,336.68
  5. Step 5: Solve for x
    x = 436,336.68/980.64
  6. Step 6: Final answer
    x = 444.95

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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.