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Finding the Fourth Proportional to 379.52, 569.04 and 214.90

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Solution

The fourth proportional to 379.52, 569.04 and 214.90 is: 322.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.52 : 569.04 = 214.90 : x
  2. Step 2: Convert to fraction form
    379.52/569.04 = 214.90/x
  3. Step 3: Cross multiply
    379.52x = 569.04 × 214.90
  4. Step 4: Simplify right side
    379.52x = 122,286.70
  5. Step 5: Solve for x
    x = 122,286.70/379.52
  6. Step 6: Final answer
    x = 322.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.