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Finding the Fourth Proportional to 394.09, 542.99 and 300.67

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Solution

The fourth proportional to 394.09, 542.99 and 300.67 is: 414.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.09 : 542.99 = 300.67 : x
  2. Step 2: Convert to fraction form
    394.09/542.99 = 300.67/x
  3. Step 3: Cross multiply
    394.09x = 542.99 × 300.67
  4. Step 4: Simplify right side
    394.09x = 163,260.20
  5. Step 5: Solve for x
    x = 163,260.20/394.09
  6. Step 6: Final answer
    x = 414.27

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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.