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Finding the Fourth Proportional to 643.02, 963.75 and 272.68

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Solution

The fourth proportional to 643.02, 963.75 and 272.68 is: 408.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.02 : 963.75 = 272.68 : x
  2. Step 2: Convert to fraction form
    643.02/963.75 = 272.68/x
  3. Step 3: Cross multiply
    643.02x = 963.75 × 272.68
  4. Step 4: Simplify right side
    643.02x = 262,795.35
  5. Step 5: Solve for x
    x = 262,795.35/643.02
  6. Step 6: Final answer
    x = 408.69

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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.