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Finding the Fourth Proportional to 472.14, 708.36 and 198.24

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Solution

The fourth proportional to 472.14, 708.36 and 198.24 is: 297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.14 : 708.36 = 198.24 : x
  2. Step 2: Convert to fraction form
    472.14/708.36 = 198.24/x
  3. Step 3: Cross multiply
    472.14x = 708.36 × 198.24
  4. Step 4: Simplify right side
    472.14x = 140,425.29
  5. Step 5: Solve for x
    x = 140,425.29/472.14
  6. Step 6: Final answer
    x = 297.42

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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.