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Finding the Fourth Proportional to 643.24, 965.34 and 301.48

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Solution

The fourth proportional to 643.24, 965.34 and 301.48 is: 452.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.24 : 965.34 = 301.48 : x
  2. Step 2: Convert to fraction form
    643.24/965.34 = 301.48/x
  3. Step 3: Cross multiply
    643.24x = 965.34 × 301.48
  4. Step 4: Simplify right side
    643.24x = 291,030.70
  5. Step 5: Solve for x
    x = 291,030.70/643.24
  6. Step 6: Final answer
    x = 452.44

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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.