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Finding the Fourth Proportional to 394.40, 592.23 and 313.91

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Solution

The fourth proportional to 394.40, 592.23 and 313.91 is: 471.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.40 : 592.23 = 313.91 : x
  2. Step 2: Convert to fraction form
    394.40/592.23 = 313.91/x
  3. Step 3: Cross multiply
    394.40x = 592.23 × 313.91
  4. Step 4: Simplify right side
    394.40x = 185,906.92
  5. Step 5: Solve for x
    x = 185,906.92/394.40
  6. Step 6: Final answer
    x = 471.37

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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.