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Finding the Fourth Proportional to 964.53, 1,446.81 and 306.39

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Solution

The fourth proportional to 964.53, 1,446.81 and 306.39 is: 459.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.53 : 1,446.81 = 306.39 : x
  2. Step 2: Convert to fraction form
    964.53/1,446.81 = 306.39/x
  3. Step 3: Cross multiply
    964.53x = 1,446.81 × 306.39
  4. Step 4: Simplify right side
    964.53x = 443,288.12
  5. Step 5: Solve for x
    x = 443,288.12/964.53
  6. Step 6: Final answer
    x = 459.59

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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.