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Finding the Fourth Proportional to 643.72, 965.84 and 259

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Solution

The fourth proportional to 643.72, 965.84 and 259 is: 388.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.72 : 965.84 = 259 : x
  2. Step 2: Convert to fraction form
    643.72/965.84 = 259/x
  3. Step 3: Cross multiply
    643.72x = 965.84 × 259
  4. Step 4: Simplify right side
    643.72x = 250,152.56
  5. Step 5: Solve for x
    x = 250,152.56/643.72
  6. Step 6: Final answer
    x = 388.60

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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.