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Finding the Fourth Proportional to 393.45, 542.89 and 227.67

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Solution

The fourth proportional to 393.45, 542.89 and 227.67 is: 314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    393.45 : 542.89 = 227.67 : x
  2. Step 2: Convert to fraction form
    393.45/542.89 = 227.67/x
  3. Step 3: Cross multiply
    393.45x = 542.89 × 227.67
  4. Step 4: Simplify right side
    393.45x = 123,599.77
  5. Step 5: Solve for x
    x = 123,599.77/393.45
  6. Step 6: Final answer
    x = 314.14

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Why These Related Problems?

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