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Finding the Fourth Proportional to 394.30, 590.63 and 316.84

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Solution

The fourth proportional to 394.30, 590.63 and 316.84 is: 474.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.30 : 590.63 = 316.84 : x
  2. Step 2: Convert to fraction form
    394.30/590.63 = 316.84/x
  3. Step 3: Cross multiply
    394.30x = 590.63 × 316.84
  4. Step 4: Simplify right side
    394.30x = 187,135.21
  5. Step 5: Solve for x
    x = 187,135.21/394.30
  6. Step 6: Final answer
    x = 474.61

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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.