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Finding the Fourth Proportional to 379.71, 524.02 and 213.93

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Solution

The fourth proportional to 379.71, 524.02 and 213.93 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.71 : 524.02 = 213.93 : x
  2. Step 2: Convert to fraction form
    379.71/524.02 = 213.93/x
  3. Step 3: Cross multiply
    379.71x = 524.02 × 213.93
  4. Step 4: Simplify right side
    379.71x = 112,103.06
  5. Step 5: Solve for x
    x = 112,103.06/379.71
  6. Step 6: Final answer
    x = 295.23

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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.