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Finding the Fourth Proportional to 472.06, 708.12 and 198.22

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Solution

The fourth proportional to 472.06, 708.12 and 198.22 is: 297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.06 : 708.12 = 198.22 : x
  2. Step 2: Convert to fraction form
    472.06/708.12 = 198.22/x
  3. Step 3: Cross multiply
    472.06x = 708.12 × 198.22
  4. Step 4: Simplify right side
    472.06x = 140,363.55
  5. Step 5: Solve for x
    x = 140,363.55/472.06
  6. Step 6: Final answer
    x = 297.34

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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.