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Finding the Fourth Proportional to 472, 708.31 and 211.91

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Solution

The fourth proportional to 472, 708.31 and 211.91 is: 318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    472 : 708.31 = 211.91 : x
  2. Step 2: Convert to fraction form
    472/708.31 = 211.91/x
  3. Step 3: Cross multiply
    472x = 708.31 × 211.91
  4. Step 4: Simplify right side
    472x = 150,097.97
  5. Step 5: Solve for x
    x = 150,097.97/472
  6. Step 6: Final answer
    x = 318.00

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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.