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Finding the Fourth Proportional to 964.71, 1,446.71 and 315.27

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Solution

The fourth proportional to 964.71, 1,446.71 and 315.27 is: 472.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.71 : 1,446.71 = 315.27 : x
  2. Step 2: Convert to fraction form
    964.71/1,446.71 = 315.27/x
  3. Step 3: Cross multiply
    964.71x = 1,446.71 × 315.27
  4. Step 4: Simplify right side
    964.71x = 456,102.69
  5. Step 5: Solve for x
    x = 456,102.69/964.71
  6. Step 6: Final answer
    x = 472.79

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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.