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Finding the Fourth Proportional to 964.28, 1,446.14 and 387.02

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Solution

The fourth proportional to 964.28, 1,446.14 and 387.02 is: 580.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.28 : 1,446.14 = 387.02 : x
  2. Step 2: Convert to fraction form
    964.28/1,446.14 = 387.02/x
  3. Step 3: Cross multiply
    964.28x = 1,446.14 × 387.02
  4. Step 4: Simplify right side
    964.28x = 559,685.10
  5. Step 5: Solve for x
    x = 559,685.10/964.28
  6. Step 6: Final answer
    x = 580.42

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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.