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Finding the Fourth Proportional to 429.14, 643.97 and 198.06

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Solution

The fourth proportional to 429.14, 643.97 and 198.06 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.14 : 643.97 = 198.06 : x
  2. Step 2: Convert to fraction form
    429.14/643.97 = 198.06/x
  3. Step 3: Cross multiply
    429.14x = 643.97 × 198.06
  4. Step 4: Simplify right side
    429.14x = 127,545.19
  5. Step 5: Solve for x
    x = 127,545.19/429.14
  6. Step 6: Final answer
    x = 297.21

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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.