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Finding the Fourth Proportional to 643.82, 964.86 and 335.03

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Solution

The fourth proportional to 643.82, 964.86 and 335.03 is: 502.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.82 : 964.86 = 335.03 : x
  2. Step 2: Convert to fraction form
    643.82/964.86 = 335.03/x
  3. Step 3: Cross multiply
    643.82x = 964.86 × 335.03
  4. Step 4: Simplify right side
    643.82x = 323,252.22
  5. Step 5: Solve for x
    x = 323,252.22/643.82
  6. Step 6: Final answer
    x = 502.09

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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.