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Finding the Fourth Proportional to 394.93, 545.14 and 229.20

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Solution

The fourth proportional to 394.93, 545.14 and 229.20 is: 316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.93 : 545.14 = 229.20 : x
  2. Step 2: Convert to fraction form
    394.93/545.14 = 229.20/x
  3. Step 3: Cross multiply
    394.93x = 545.14 × 229.20
  4. Step 4: Simplify right side
    394.93x = 124,943.04
  5. Step 5: Solve for x
    x = 124,943.04/394.93
  6. Step 6: Final answer
    x = 316.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.