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Finding the Fourth Proportional to 984.56, 1,476.52 and 326.28

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Solution

The fourth proportional to 984.56, 1,476.52 and 326.28 is: 489.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.56 : 1,476.52 = 326.28 : x
  2. Step 2: Convert to fraction form
    984.56/1,476.52 = 326.28/x
  3. Step 3: Cross multiply
    984.56x = 1,476.52 × 326.28
  4. Step 4: Simplify right side
    984.56x = 481,758.95
  5. Step 5: Solve for x
    x = 481,758.95/984.56
  6. Step 6: Final answer
    x = 489.31

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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.