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Finding the Fourth Proportional to 472.47, 708.06 and 198.39

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Solution

The fourth proportional to 472.47, 708.06 and 198.39 is: 297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.47 : 708.06 = 198.39 : x
  2. Step 2: Convert to fraction form
    472.47/708.06 = 198.39/x
  3. Step 3: Cross multiply
    472.47x = 708.06 × 198.39
  4. Step 4: Simplify right side
    472.47x = 140,472.02
  5. Step 5: Solve for x
    x = 140,472.02/472.47
  6. Step 6: Final answer
    x = 297.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.