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Finding the Fourth Proportional to 644.69, 967.04 and 233.65

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Solution

The fourth proportional to 644.69, 967.04 and 233.65 is: 350.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.69 : 967.04 = 233.65 : x
  2. Step 2: Convert to fraction form
    644.69/967.04 = 233.65/x
  3. Step 3: Cross multiply
    644.69x = 967.04 × 233.65
  4. Step 4: Simplify right side
    644.69x = 225,949.81
  5. Step 5: Solve for x
    x = 225,949.81/644.69
  6. Step 6: Final answer
    x = 350.48

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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.