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Finding the Fourth Proportional to 379.82, 524.15 and 214.06

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Solution

The fourth proportional to 379.82, 524.15 and 214.06 is: 295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.82 : 524.15 = 214.06 : x
  2. Step 2: Convert to fraction form
    379.82/524.15 = 214.06/x
  3. Step 3: Cross multiply
    379.82x = 524.15 × 214.06
  4. Step 4: Simplify right side
    379.82x = 112,198.48
  5. Step 5: Solve for x
    x = 112,198.48/379.82
  6. Step 6: Final answer
    x = 295.40

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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.