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Finding the Fourth Proportional to 643.48, 964.24 and 426.28

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Solution

The fourth proportional to 643.48, 964.24 and 426.28 is: 638.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 964.24 = 426.28 : x
  2. Step 2: Convert to fraction form
    643.48/964.24 = 426.28/x
  3. Step 3: Cross multiply
    643.48x = 964.24 × 426.28
  4. Step 4: Simplify right side
    643.48x = 411,036.23
  5. Step 5: Solve for x
    x = 411,036.23/643.48
  6. Step 6: Final answer
    x = 638.77

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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.