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Finding the Fourth Proportional to 519.31, 778.86 and 154.01

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Solution

The fourth proportional to 519.31, 778.86 and 154.01 is: 230.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.31 : 778.86 = 154.01 : x
  2. Step 2: Convert to fraction form
    519.31/778.86 = 154.01/x
  3. Step 3: Cross multiply
    519.31x = 778.86 × 154.01
  4. Step 4: Simplify right side
    519.31x = 119,954.18
  5. Step 5: Solve for x
    x = 119,954.18/519.31
  6. Step 6: Final answer
    x = 230.99

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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.