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Finding the Fourth Proportional to 389.43, 537.41 and 214.77

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Solution

The fourth proportional to 389.43, 537.41 and 214.77 is: 296.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.43 : 537.41 = 214.77 : x
  2. Step 2: Convert to fraction form
    389.43/537.41 = 214.77/x
  3. Step 3: Cross multiply
    389.43x = 537.41 × 214.77
  4. Step 4: Simplify right side
    389.43x = 115,419.55
  5. Step 5: Solve for x
    x = 115,419.55/389.43
  6. Step 6: Final answer
    x = 296.38

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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.