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Finding the Fourth Proportional to 389.52, 583.86 and 206.73

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Solution

The fourth proportional to 389.52, 583.86 and 206.73 is: 309.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.52 : 583.86 = 206.73 : x
  2. Step 2: Convert to fraction form
    389.52/583.86 = 206.73/x
  3. Step 3: Cross multiply
    389.52x = 583.86 × 206.73
  4. Step 4: Simplify right side
    389.52x = 120,701.38
  5. Step 5: Solve for x
    x = 120,701.38/389.52
  6. Step 6: Final answer
    x = 309.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.