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Finding the Fourth Proportional to 975.25, 1,463.04 and 326.14

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Solution

The fourth proportional to 975.25, 1,463.04 and 326.14 is: 489.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.25 : 1,463.04 = 326.14 : x
  2. Step 2: Convert to fraction form
    975.25/1,463.04 = 326.14/x
  3. Step 3: Cross multiply
    975.25x = 1,463.04 × 326.14
  4. Step 4: Simplify right side
    975.25x = 477,154.23
  5. Step 5: Solve for x
    x = 477,154.23/975.25
  6. Step 6: Final answer
    x = 489.26

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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.