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Finding the Fourth Proportional to 964.90, 1,447.38 and 306.78

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Solution

The fourth proportional to 964.90, 1,447.38 and 306.78 is: 460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.90 : 1,447.38 = 306.78 : x
  2. Step 2: Convert to fraction form
    964.90/1,447.38 = 306.78/x
  3. Step 3: Cross multiply
    964.90x = 1,447.38 × 306.78
  4. Step 4: Simplify right side
    964.90x = 444,025.02
  5. Step 5: Solve for x
    x = 444,025.02/964.90
  6. Step 6: Final answer
    x = 460.18

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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.