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Finding the Fourth Proportional to 964.16, 1,446.24 and 280

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Solution

The fourth proportional to 964.16, 1,446.24 and 280 is: 420

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.16 : 1,446.24 = 280 : x
  2. Step 2: Convert to fraction form
    964.16/1,446.24 = 280/x
  3. Step 3: Cross multiply
    964.16x = 1,446.24 × 280
  4. Step 4: Simplify right side
    964.16x = 404,947.20
  5. Step 5: Solve for x
    x = 404,947.20/964.16
  6. Step 6: Final answer
    x = 420

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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.