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Finding the Fourth Proportional to 644.59, 965.06 and 400.37

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Solution

The fourth proportional to 644.59, 965.06 and 400.37 is: 599.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.59 : 965.06 = 400.37 : x
  2. Step 2: Convert to fraction form
    644.59/965.06 = 400.37/x
  3. Step 3: Cross multiply
    644.59x = 965.06 × 400.37
  4. Step 4: Simplify right side
    644.59x = 386,379.07
  5. Step 5: Solve for x
    x = 386,379.07/644.59
  6. Step 6: Final answer
    x = 599.42

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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.