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Finding the Fourth Proportional to 613.81, 920.44 and 229.06

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Solution

The fourth proportional to 613.81, 920.44 and 229.06 is: 343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.81 : 920.44 = 229.06 : x
  2. Step 2: Convert to fraction form
    613.81/920.44 = 229.06/x
  3. Step 3: Cross multiply
    613.81x = 920.44 × 229.06
  4. Step 4: Simplify right side
    613.81x = 210,835.99
  5. Step 5: Solve for x
    x = 210,835.99/613.81
  6. Step 6: Final answer
    x = 343.49

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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.