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Finding the Fourth Proportional to 518.86, 715.99 and 285.98

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Solution

The fourth proportional to 518.86, 715.99 and 285.98 is: 394.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.86 : 715.99 = 285.98 : x
  2. Step 2: Convert to fraction form
    518.86/715.99 = 285.98/x
  3. Step 3: Cross multiply
    518.86x = 715.99 × 285.98
  4. Step 4: Simplify right side
    518.86x = 204,757.39
  5. Step 5: Solve for x
    x = 204,757.39/518.86
  6. Step 6: Final answer
    x = 394.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.