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Finding the Fourth Proportional to 394.27, 590.37 and 316.82

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Solution

The fourth proportional to 394.27, 590.37 and 316.82 is: 474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.27 : 590.37 = 316.82 : x
  2. Step 2: Convert to fraction form
    394.27/590.37 = 316.82/x
  3. Step 3: Cross multiply
    394.27x = 590.37 × 316.82
  4. Step 4: Simplify right side
    394.27x = 187,041.02
  5. Step 5: Solve for x
    x = 187,041.02/394.27
  6. Step 6: Final answer
    x = 474.40

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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.