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Finding the Fourth Proportional to 961.49, 1,442.07 and 312.23

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Solution

The fourth proportional to 961.49, 1,442.07 and 312.23 is: 468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.49 : 1,442.07 = 312.23 : x
  2. Step 2: Convert to fraction form
    961.49/1,442.07 = 312.23/x
  3. Step 3: Cross multiply
    961.49x = 1,442.07 × 312.23
  4. Step 4: Simplify right side
    961.49x = 450,257.52
  5. Step 5: Solve for x
    x = 450,257.52/961.49
  6. Step 6: Final answer
    x = 468.29

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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.