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Finding the Fourth Proportional to 961.70, 1,442.55 and 231.28

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Solution

The fourth proportional to 961.70, 1,442.55 and 231.28 is: 346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.70 : 1,442.55 = 231.28 : x
  2. Step 2: Convert to fraction form
    961.70/1,442.55 = 231.28/x
  3. Step 3: Cross multiply
    961.70x = 1,442.55 × 231.28
  4. Step 4: Simplify right side
    961.70x = 333,626.22
  5. Step 5: Solve for x
    x = 333,626.22/961.70
  6. Step 6: Final answer
    x = 346.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.