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Finding the Fourth Proportional to 472.02, 708.03 and 198.06

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Solution

The fourth proportional to 472.02, 708.03 and 198.06 is: 297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.02 : 708.03 = 198.06 : x
  2. Step 2: Convert to fraction form
    472.02/708.03 = 198.06/x
  3. Step 3: Cross multiply
    472.02x = 708.03 × 198.06
  4. Step 4: Simplify right side
    472.02x = 140,232.42
  5. Step 5: Solve for x
    x = 140,232.42/472.02
  6. Step 6: Final answer
    x = 297.09

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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.