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Finding the Fourth Proportional to 961.14, 1,441.78 and 312.34

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Solution

The fourth proportional to 961.14, 1,441.78 and 312.34 is: 468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.14 : 1,441.78 = 312.34 : x
  2. Step 2: Convert to fraction form
    961.14/1,441.78 = 312.34/x
  3. Step 3: Cross multiply
    961.14x = 1,441.78 × 312.34
  4. Step 4: Simplify right side
    961.14x = 450,325.57
  5. Step 5: Solve for x
    x = 450,325.57/961.14
  6. Step 6: Final answer
    x = 468.53

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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.