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Finding the Fourth Proportional to 517.99, 777.11 and 229.51

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Solution

The fourth proportional to 517.99, 777.11 and 229.51 is: 344.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.99 : 777.11 = 229.51 : x
  2. Step 2: Convert to fraction form
    517.99/777.11 = 229.51/x
  3. Step 3: Cross multiply
    517.99x = 777.11 × 229.51
  4. Step 4: Simplify right side
    517.99x = 178,354.52
  5. Step 5: Solve for x
    x = 178,354.52/517.99
  6. Step 6: Final answer
    x = 344.32

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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.