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Finding the Fourth Proportional to 643.58, 963.15 and 396.69

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Solution

The fourth proportional to 643.58, 963.15 and 396.69 is: 593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.58 : 963.15 = 396.69 : x
  2. Step 2: Convert to fraction form
    643.58/963.15 = 396.69/x
  3. Step 3: Cross multiply
    643.58x = 963.15 × 396.69
  4. Step 4: Simplify right side
    643.58x = 382,065.17
  5. Step 5: Solve for x
    x = 382,065.17/643.58
  6. Step 6: Final answer
    x = 593.66

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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.