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Finding the Fourth Proportional to 644.16, 966.36 and 259.44

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Solution

The fourth proportional to 644.16, 966.36 and 259.44 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.16 : 966.36 = 259.44 : x
  2. Step 2: Convert to fraction form
    644.16/966.36 = 259.44/x
  3. Step 3: Cross multiply
    644.16x = 966.36 × 259.44
  4. Step 4: Simplify right side
    644.16x = 250,712.44
  5. Step 5: Solve for x
    x = 250,712.44/644.16
  6. Step 6: Final answer
    x = 389.21

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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.