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Finding the Fourth Proportional to 975.25, 1,462.84 and 281.94

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Solution

The fourth proportional to 975.25, 1,462.84 and 281.94 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.25 : 1,462.84 = 281.94 : x
  2. Step 2: Convert to fraction form
    975.25/1,462.84 = 281.94/x
  3. Step 3: Cross multiply
    975.25x = 1,462.84 × 281.94
  4. Step 4: Simplify right side
    975.25x = 412,433.11
  5. Step 5: Solve for x
    x = 412,433.11/975.25
  6. Step 6: Final answer
    x = 422.90

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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.