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Finding the Fourth Proportional to 389.44, 537.42 and 214.80

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Solution

The fourth proportional to 389.44, 537.42 and 214.80 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.44 : 537.42 = 214.80 : x
  2. Step 2: Convert to fraction form
    389.44/537.42 = 214.80/x
  3. Step 3: Cross multiply
    389.44x = 537.42 × 214.80
  4. Step 4: Simplify right side
    389.44x = 115,437.82
  5. Step 5: Solve for x
    x = 115,437.82/389.44
  6. Step 6: Final answer
    x = 296.42

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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.