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Finding the Fourth Proportional to 472.56, 708.90 and 212.51

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Solution

The fourth proportional to 472.56, 708.90 and 212.51 is: 318.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 708.90 = 212.51 : x
  2. Step 2: Convert to fraction form
    472.56/708.90 = 212.51/x
  3. Step 3: Cross multiply
    472.56x = 708.90 × 212.51
  4. Step 4: Simplify right side
    472.56x = 150,644.79
  5. Step 5: Solve for x
    x = 150,644.79/472.56
  6. Step 6: Final answer
    x = 318.78

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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.