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Finding the Fourth Proportional to 614.27, 920.86 and 229.25

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Solution

The fourth proportional to 614.27, 920.86 and 229.25 is: 343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.27 : 920.86 = 229.25 : x
  2. Step 2: Convert to fraction form
    614.27/920.86 = 229.25/x
  3. Step 3: Cross multiply
    614.27x = 920.86 × 229.25
  4. Step 4: Simplify right side
    614.27x = 211,107.16
  5. Step 5: Solve for x
    x = 211,107.16/614.27
  6. Step 6: Final answer
    x = 343.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.