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Finding the Fourth Proportional to 519.36, 778.13 and 462.87

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Solution

The fourth proportional to 519.36, 778.13 and 462.87 is: 693.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.36 : 778.13 = 462.87 : x
  2. Step 2: Convert to fraction form
    519.36/778.13 = 462.87/x
  3. Step 3: Cross multiply
    519.36x = 778.13 × 462.87
  4. Step 4: Simplify right side
    519.36x = 360,169.14
  5. Step 5: Solve for x
    x = 360,169.14/519.36
  6. Step 6: Final answer
    x = 693.49

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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.