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Finding the Fourth Proportional to 429.26, 643.31 and 197.64

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Solution

The fourth proportional to 429.26, 643.31 and 197.64 is: 296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.26 : 643.31 = 197.64 : x
  2. Step 2: Convert to fraction form
    429.26/643.31 = 197.64/x
  3. Step 3: Cross multiply
    429.26x = 643.31 × 197.64
  4. Step 4: Simplify right side
    429.26x = 127,143.54
  5. Step 5: Solve for x
    x = 127,143.54/429.26
  6. Step 6: Final answer
    x = 296.19

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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.