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Finding the Fourth Proportional to 379.78, 524.07 and 213.99

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Solution

The fourth proportional to 379.78, 524.07 and 213.99 is: 295.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.78 : 524.07 = 213.99 : x
  2. Step 2: Convert to fraction form
    379.78/524.07 = 213.99/x
  3. Step 3: Cross multiply
    379.78x = 524.07 × 213.99
  4. Step 4: Simplify right side
    379.78x = 112,145.74
  5. Step 5: Solve for x
    x = 112,145.74/379.78
  6. Step 6: Final answer
    x = 295.29

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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.