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Finding the Fourth Proportional to 518.82, 715.97 and 285.93

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Solution

The fourth proportional to 518.82, 715.97 and 285.93 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.82 : 715.97 = 285.93 : x
  2. Step 2: Convert to fraction form
    518.82/715.97 = 285.93/x
  3. Step 3: Cross multiply
    518.82x = 715.97 × 285.93
  4. Step 4: Simplify right side
    518.82x = 204,715.87
  5. Step 5: Solve for x
    x = 204,715.87/518.82
  6. Step 6: Final answer
    x = 394.58

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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.