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Finding the Fourth Proportional to 988.44, 1,482.49 and 330.25

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Solution

The fourth proportional to 988.44, 1,482.49 and 330.25 is: 495.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.44 : 1,482.49 = 330.25 : x
  2. Step 2: Convert to fraction form
    988.44/1,482.49 = 330.25/x
  3. Step 3: Cross multiply
    988.44x = 1,482.49 × 330.25
  4. Step 4: Simplify right side
    988.44x = 489,594.12
  5. Step 5: Solve for x
    x = 489,594.12/988.44
  6. Step 6: Final answer
    x = 495.32

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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.