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Finding the Fourth Proportional to 394.17, 590.45 and 316.71

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Solution

The fourth proportional to 394.17, 590.45 and 316.71 is: 474.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.17 : 590.45 = 316.71 : x
  2. Step 2: Convert to fraction form
    394.17/590.45 = 316.71/x
  3. Step 3: Cross multiply
    394.17x = 590.45 × 316.71
  4. Step 4: Simplify right side
    394.17x = 187,002.05
  5. Step 5: Solve for x
    x = 187,002.05/394.17
  6. Step 6: Final answer
    x = 474.42

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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.