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Finding the Fourth Proportional to 429.24, 643.89 and 116.94

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Solution

The fourth proportional to 429.24, 643.89 and 116.94 is: 175.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.24 : 643.89 = 116.94 : x
  2. Step 2: Convert to fraction form
    429.24/643.89 = 116.94/x
  3. Step 3: Cross multiply
    429.24x = 643.89 × 116.94
  4. Step 4: Simplify right side
    429.24x = 75,296.50
  5. Step 5: Solve for x
    x = 75,296.50/429.24
  6. Step 6: Final answer
    x = 175.42

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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.