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Finding the Fourth Proportional to 964.27, 1,446.36 and 314.92

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Solution

The fourth proportional to 964.27, 1,446.36 and 314.92 is: 472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.27 : 1,446.36 = 314.92 : x
  2. Step 2: Convert to fraction form
    964.27/1,446.36 = 314.92/x
  3. Step 3: Cross multiply
    964.27x = 1,446.36 × 314.92
  4. Step 4: Simplify right side
    964.27x = 455,487.69
  5. Step 5: Solve for x
    x = 455,487.69/964.27
  6. Step 6: Final answer
    x = 472.37

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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.