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Finding the Fourth Proportional to 519.99, 779.63 and 314.61

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Solution

The fourth proportional to 519.99, 779.63 and 314.61 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.99 : 779.63 = 314.61 : x
  2. Step 2: Convert to fraction form
    519.99/779.63 = 314.61/x
  3. Step 3: Cross multiply
    519.99x = 779.63 × 314.61
  4. Step 4: Simplify right side
    519.99x = 245,277.82
  5. Step 5: Solve for x
    x = 245,277.82/519.99
  6. Step 6: Final answer
    x = 471.70

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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.