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Finding the Fourth Proportional to 389.71, 537.77 and 215.05

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Solution

The fourth proportional to 389.71, 537.77 and 215.05 is: 296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.71 : 537.77 = 215.05 : x
  2. Step 2: Convert to fraction form
    389.71/537.77 = 215.05/x
  3. Step 3: Cross multiply
    389.71x = 537.77 × 215.05
  4. Step 4: Simplify right side
    389.71x = 115,647.44
  5. Step 5: Solve for x
    x = 115,647.44/389.71
  6. Step 6: Final answer
    x = 296.76

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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.