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Finding the Fourth Proportional to 644.49, 965.18 and 533.98

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Solution

The fourth proportional to 644.49, 965.18 and 533.98 is: 799.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.49 : 965.18 = 533.98 : x
  2. Step 2: Convert to fraction form
    644.49/965.18 = 533.98/x
  3. Step 3: Cross multiply
    644.49x = 965.18 × 533.98
  4. Step 4: Simplify right side
    644.49x = 515,384.40
  5. Step 5: Solve for x
    x = 515,384.40/644.49
  6. Step 6: Final answer
    x = 799.68

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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.