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Finding the Fourth Proportional to 644.54, 967.32 and 234.08

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Solution

The fourth proportional to 644.54, 967.32 and 234.08 is: 351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.54 : 967.32 = 234.08 : x
  2. Step 2: Convert to fraction form
    644.54/967.32 = 234.08/x
  3. Step 3: Cross multiply
    644.54x = 967.32 × 234.08
  4. Step 4: Simplify right side
    644.54x = 226,425.43
  5. Step 5: Solve for x
    x = 226,425.43/644.54
  6. Step 6: Final answer
    x = 351.30

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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.