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Finding the Fourth Proportional to 426, 639.24 and 198

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Solution

The fourth proportional to 426, 639.24 and 198 is: 297.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    426 : 639.24 = 198 : x
  2. Step 2: Convert to fraction form
    426/639.24 = 198/x
  3. Step 3: Cross multiply
    426x = 639.24 × 198
  4. Step 4: Simplify right side
    426x = 126,569.52
  5. Step 5: Solve for x
    x = 126,569.52/426
  6. Step 6: Final answer
    x = 297.11

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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.