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Finding the Fourth Proportional to 644.63, 966.94 and 259.88

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Solution

The fourth proportional to 644.63, 966.94 and 259.88 is: 389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.63 : 966.94 = 259.88 : x
  2. Step 2: Convert to fraction form
    644.63/966.94 = 259.88/x
  3. Step 3: Cross multiply
    644.63x = 966.94 × 259.88
  4. Step 4: Simplify right side
    644.63x = 251,282.88
  5. Step 5: Solve for x
    x = 251,282.88/644.63
  6. Step 6: Final answer
    x = 389.81

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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.