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Finding the Fourth Proportional to 472.71, 708.95 and 198.81

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Solution

The fourth proportional to 472.71, 708.95 and 198.81 is: 298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.71 : 708.95 = 198.81 : x
  2. Step 2: Convert to fraction form
    472.71/708.95 = 198.81/x
  3. Step 3: Cross multiply
    472.71x = 708.95 × 198.81
  4. Step 4: Simplify right side
    472.71x = 140,942.80
  5. Step 5: Solve for x
    x = 140,942.80/472.71
  6. Step 6: Final answer
    x = 298.16

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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.