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Finding the Fourth Proportional to 643.16, 964.20 and 318.62

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Solution

The fourth proportional to 643.16, 964.20 and 318.62 is: 477.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.16 : 964.20 = 318.62 : x
  2. Step 2: Convert to fraction form
    643.16/964.20 = 318.62/x
  3. Step 3: Cross multiply
    643.16x = 964.20 × 318.62
  4. Step 4: Simplify right side
    643.16x = 307,213.40
  5. Step 5: Solve for x
    x = 307,213.40/643.16
  6. Step 6: Final answer
    x = 477.66

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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.