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Finding the Fourth Proportional to 472.30, 708.68 and 198.48

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Solution

The fourth proportional to 472.30, 708.68 and 198.48 is: 297.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.30 : 708.68 = 198.48 : x
  2. Step 2: Convert to fraction form
    472.30/708.68 = 198.48/x
  3. Step 3: Cross multiply
    472.30x = 708.68 × 198.48
  4. Step 4: Simplify right side
    472.30x = 140,658.81
  5. Step 5: Solve for x
    x = 140,658.81/472.30
  6. Step 6: Final answer
    x = 297.82

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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.