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Finding the Fourth Proportional to 643.86, 965.49 and 297.11

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Solution

The fourth proportional to 643.86, 965.49 and 297.11 is: 445.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.86 : 965.49 = 297.11 : x
  2. Step 2: Convert to fraction form
    643.86/965.49 = 297.11/x
  3. Step 3: Cross multiply
    643.86x = 965.49 × 297.11
  4. Step 4: Simplify right side
    643.86x = 286,856.73
  5. Step 5: Solve for x
    x = 286,856.73/643.86
  6. Step 6: Final answer
    x = 445.53

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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.