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Finding the Fourth Proportional to 429.41, 643.84 and 198.29

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Solution

The fourth proportional to 429.41, 643.84 and 198.29 is: 297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.41 : 643.84 = 198.29 : x
  2. Step 2: Convert to fraction form
    429.41/643.84 = 198.29/x
  3. Step 3: Cross multiply
    429.41x = 643.84 × 198.29
  4. Step 4: Simplify right side
    429.41x = 127,667.03
  5. Step 5: Solve for x
    x = 127,667.03/429.41
  6. Step 6: Final answer
    x = 297.31

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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.