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Finding the Fourth Proportional to 519.14, 778.93 and 313.86

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Solution

The fourth proportional to 519.14, 778.93 and 313.86 is: 470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.14 : 778.93 = 313.86 : x
  2. Step 2: Convert to fraction form
    519.14/778.93 = 313.86/x
  3. Step 3: Cross multiply
    519.14x = 778.93 × 313.86
  4. Step 4: Simplify right side
    519.14x = 244,474.97
  5. Step 5: Solve for x
    x = 244,474.97/519.14
  6. Step 6: Final answer
    x = 470.92

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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.