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Finding the Fourth Proportional to 389.22, 537.12 and 214.56

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Solution

The fourth proportional to 389.22, 537.12 and 214.56 is: 296.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.22 : 537.12 = 214.56 : x
  2. Step 2: Convert to fraction form
    389.22/537.12 = 214.56/x
  3. Step 3: Cross multiply
    389.22x = 537.12 × 214.56
  4. Step 4: Simplify right side
    389.22x = 115,244.47
  5. Step 5: Solve for x
    x = 115,244.47/389.22
  6. Step 6: Final answer
    x = 296.09

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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.