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Finding the Fourth Proportional to 984.32, 1,476.39 and 326.13

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Solution

The fourth proportional to 984.32, 1,476.39 and 326.13 is: 489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.32 : 1,476.39 = 326.13 : x
  2. Step 2: Convert to fraction form
    984.32/1,476.39 = 326.13/x
  3. Step 3: Cross multiply
    984.32x = 1,476.39 × 326.13
  4. Step 4: Simplify right side
    984.32x = 481,490.76
  5. Step 5: Solve for x
    x = 481,490.76/984.32
  6. Step 6: Final answer
    x = 489.16

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Double scale
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Similar ratio
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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.