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Finding the Fourth Proportional to 644.02, 965.93 and 233.10

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Solution

The fourth proportional to 644.02, 965.93 and 233.10 is: 349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.02 : 965.93 = 233.10 : x
  2. Step 2: Convert to fraction form
    644.02/965.93 = 233.10/x
  3. Step 3: Cross multiply
    644.02x = 965.93 × 233.10
  4. Step 4: Simplify right side
    644.02x = 225,158.28
  5. Step 5: Solve for x
    x = 225,158.28/644.02
  6. Step 6: Final answer
    x = 349.61

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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.