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Finding the Fourth Proportional to 644.24, 965.34 and 575.39

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Solution

The fourth proportional to 644.24, 965.34 and 575.39 is: 862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.24 : 965.34 = 575.39 : x
  2. Step 2: Convert to fraction form
    644.24/965.34 = 575.39/x
  3. Step 3: Cross multiply
    644.24x = 965.34 × 575.39
  4. Step 4: Simplify right side
    644.24x = 555,442.16
  5. Step 5: Solve for x
    x = 555,442.16/644.24
  6. Step 6: Final answer
    x = 862.17

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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.