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Finding the Fourth Proportional to 643.44, 965.62 and 438.42

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Solution

The fourth proportional to 643.44, 965.62 and 438.42 is: 657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.44 : 965.62 = 438.42 : x
  2. Step 2: Convert to fraction form
    643.44/965.62 = 438.42/x
  3. Step 3: Cross multiply
    643.44x = 965.62 × 438.42
  4. Step 4: Simplify right side
    643.44x = 423,347.12
  5. Step 5: Solve for x
    x = 423,347.12/643.44
  6. Step 6: Final answer
    x = 657.94

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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.