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Finding the Fourth Proportional to 643.34, 964.10 and 488.43

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Solution

The fourth proportional to 643.34, 964.10 and 488.43 is: 731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.34 : 964.10 = 488.43 : x
  2. Step 2: Convert to fraction form
    643.34/964.10 = 488.43/x
  3. Step 3: Cross multiply
    643.34x = 964.10 × 488.43
  4. Step 4: Simplify right side
    643.34x = 470,896.58
  5. Step 5: Solve for x
    x = 470,896.58/643.34
  6. Step 6: Final answer
    x = 731.95

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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.