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Finding the Fourth Proportional to 429.12, 643.38 and 198.14

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Solution

The fourth proportional to 429.12, 643.38 and 198.14 is: 297.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.12 : 643.38 = 198.14 : x
  2. Step 2: Convert to fraction form
    429.12/643.38 = 198.14/x
  3. Step 3: Cross multiply
    429.12x = 643.38 × 198.14
  4. Step 4: Simplify right side
    429.12x = 127,476.10
  5. Step 5: Solve for x
    x = 127,476.10/429.12
  6. Step 6: Final answer
    x = 297.06

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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.