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Finding the Fourth Proportional to 389.73, 537.84 and 215.10

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Solution

The fourth proportional to 389.73, 537.84 and 215.10 is: 296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.73 : 537.84 = 215.10 : x
  2. Step 2: Convert to fraction form
    389.73/537.84 = 215.10/x
  3. Step 3: Cross multiply
    389.73x = 537.84 × 215.10
  4. Step 4: Simplify right side
    389.73x = 115,689.38
  5. Step 5: Solve for x
    x = 115,689.38/389.73
  6. Step 6: Final answer
    x = 296.84

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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.