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Finding the Fourth Proportional to 644.58, 966.99 and 233.76

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Solution

The fourth proportional to 644.58, 966.99 and 233.76 is: 350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.58 : 966.99 = 233.76 : x
  2. Step 2: Convert to fraction form
    644.58/966.99 = 233.76/x
  3. Step 3: Cross multiply
    644.58x = 966.99 × 233.76
  4. Step 4: Simplify right side
    644.58x = 226,043.58
  5. Step 5: Solve for x
    x = 226,043.58/644.58
  6. Step 6: Final answer
    x = 350.68

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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.