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Finding the Fourth Proportional to 472.30, 708.56 and 198.23

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Solution

The fourth proportional to 472.30, 708.56 and 198.23 is: 297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.30 : 708.56 = 198.23 : x
  2. Step 2: Convert to fraction form
    472.30/708.56 = 198.23/x
  3. Step 3: Cross multiply
    472.30x = 708.56 × 198.23
  4. Step 4: Simplify right side
    472.30x = 140,458.63
  5. Step 5: Solve for x
    x = 140,458.63/472.30
  6. Step 6: Final answer
    x = 297.39

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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.