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Finding the Fourth Proportional to 518.26, 777.59 and 229.63

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Solution

The fourth proportional to 518.26, 777.59 and 229.63 is: 344.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.26 : 777.59 = 229.63 : x
  2. Step 2: Convert to fraction form
    518.26/777.59 = 229.63/x
  3. Step 3: Cross multiply
    518.26x = 777.59 × 229.63
  4. Step 4: Simplify right side
    518.26x = 178,557.99
  5. Step 5: Solve for x
    x = 178,557.99/518.26
  6. Step 6: Final answer
    x = 344.53

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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.