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Finding the Fourth Proportional to 429.46, 643.33 and 198.03

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Solution

The fourth proportional to 429.46, 643.33 and 198.03 is: 296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.46 : 643.33 = 198.03 : x
  2. Step 2: Convert to fraction form
    429.46/643.33 = 198.03/x
  3. Step 3: Cross multiply
    429.46x = 643.33 × 198.03
  4. Step 4: Simplify right side
    429.46x = 127,398.64
  5. Step 5: Solve for x
    x = 127,398.64/429.46
  6. Step 6: Final answer
    x = 296.65

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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.