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Finding the Fourth Proportional to 474.79, 711.64 and 217.75

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Solution

The fourth proportional to 474.79, 711.64 and 217.75 is: 326.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.79 : 711.64 = 217.75 : x
  2. Step 2: Convert to fraction form
    474.79/711.64 = 217.75/x
  3. Step 3: Cross multiply
    474.79x = 711.64 × 217.75
  4. Step 4: Simplify right side
    474.79x = 154,959.61
  5. Step 5: Solve for x
    x = 154,959.61/474.79
  6. Step 6: Final answer
    x = 326.38

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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.