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Finding the Fourth Proportional to 519.83, 778.59 and 313.98

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Solution

The fourth proportional to 519.83, 778.59 and 313.98 is: 470.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.83 : 778.59 = 313.98 : x
  2. Step 2: Convert to fraction form
    519.83/778.59 = 313.98/x
  3. Step 3: Cross multiply
    519.83x = 778.59 × 313.98
  4. Step 4: Simplify right side
    519.83x = 244,461.69
  5. Step 5: Solve for x
    x = 244,461.69/519.83
  6. Step 6: Final answer
    x = 470.28

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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.