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Finding the Fourth Proportional to 472.67, 709 and 198.75

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Solution

The fourth proportional to 472.67, 709 and 198.75 is: 298.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.67 : 709 = 198.75 : x
  2. Step 2: Convert to fraction form
    472.67/709 = 198.75/x
  3. Step 3: Cross multiply
    472.67x = 709 × 198.75
  4. Step 4: Simplify right side
    472.67x = 140,913.75
  5. Step 5: Solve for x
    x = 140,913.75/472.67
  6. Step 6: Final answer
    x = 298.12

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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.