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Finding the Fourth Proportional to 429.08, 643.92 and 198

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Solution

The fourth proportional to 429.08, 643.92 and 198 is: 297.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.08 : 643.92 = 198 : x
  2. Step 2: Convert to fraction form
    429.08/643.92 = 198/x
  3. Step 3: Cross multiply
    429.08x = 643.92 × 198
  4. Step 4: Simplify right side
    429.08x = 127,496.16
  5. Step 5: Solve for x
    x = 127,496.16/429.08
  6. Step 6: Final answer
    x = 297.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.