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Finding the Fourth Proportional to 644.37, 965.61 and 400.16

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Solution

The fourth proportional to 644.37, 965.61 and 400.16 is: 599.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.37 : 965.61 = 400.16 : x
  2. Step 2: Convert to fraction form
    644.37/965.61 = 400.16/x
  3. Step 3: Cross multiply
    644.37x = 965.61 × 400.16
  4. Step 4: Simplify right side
    644.37x = 386,393.67
  5. Step 5: Solve for x
    x = 386,393.67/644.37
  6. Step 6: Final answer
    x = 599.65

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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.