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Finding the Fourth Proportional to 643.48, 966.04 and 335.54

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Solution

The fourth proportional to 643.48, 966.04 and 335.54 is: 503.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.48 : 966.04 = 335.54 : x
  2. Step 2: Convert to fraction form
    643.48/966.04 = 335.54/x
  3. Step 3: Cross multiply
    643.48x = 966.04 × 335.54
  4. Step 4: Simplify right side
    643.48x = 324,145.06
  5. Step 5: Solve for x
    x = 324,145.06/643.48
  6. Step 6: Final answer
    x = 503.74

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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.