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Finding the Fourth Proportional to 429.06, 643.25 and 197.78

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Solution

The fourth proportional to 429.06, 643.25 and 197.78 is: 296.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.06 : 643.25 = 197.78 : x
  2. Step 2: Convert to fraction form
    429.06/643.25 = 197.78/x
  3. Step 3: Cross multiply
    429.06x = 643.25 × 197.78
  4. Step 4: Simplify right side
    429.06x = 127,221.99
  5. Step 5: Solve for x
    x = 127,221.99/429.06
  6. Step 6: Final answer
    x = 296.51

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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.