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Finding the Fourth Proportional to 966.23, 1,449.32 and 308.14

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Solution

The fourth proportional to 966.23, 1,449.32 and 308.14 is: 462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.23 : 1,449.32 = 308.14 : x
  2. Step 2: Convert to fraction form
    966.23/1,449.32 = 308.14/x
  3. Step 3: Cross multiply
    966.23x = 1,449.32 × 308.14
  4. Step 4: Simplify right side
    966.23x = 446,588.30
  5. Step 5: Solve for x
    x = 446,588.30/966.23
  6. Step 6: Final answer
    x = 462.20

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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.