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Finding the Fourth Proportional to 429.92, 645.02 and 186.44

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Solution

The fourth proportional to 429.92, 645.02 and 186.44 is: 279.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.92 : 645.02 = 186.44 : x
  2. Step 2: Convert to fraction form
    429.92/645.02 = 186.44/x
  3. Step 3: Cross multiply
    429.92x = 645.02 × 186.44
  4. Step 4: Simplify right side
    429.92x = 120,257.53
  5. Step 5: Solve for x
    x = 120,257.53/429.92
  6. Step 6: Final answer
    x = 279.72

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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.