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Finding the Fourth Proportional to 964.64, 1,446.84 and 315.20

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Solution

The fourth proportional to 964.64, 1,446.84 and 315.20 is: 472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.64 : 1,446.84 = 315.20 : x
  2. Step 2: Convert to fraction form
    964.64/1,446.84 = 315.20/x
  3. Step 3: Cross multiply
    964.64x = 1,446.84 × 315.20
  4. Step 4: Simplify right side
    964.64x = 456,043.97
  5. Step 5: Solve for x
    x = 456,043.97/964.64
  6. Step 6: Final answer
    x = 472.76

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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.