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Finding the Fourth Proportional to 389.27, 583.98 and 206.61

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Solution

The fourth proportional to 389.27, 583.98 and 206.61 is: 309.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.27 : 583.98 = 206.61 : x
  2. Step 2: Convert to fraction form
    389.27/583.98 = 206.61/x
  3. Step 3: Cross multiply
    389.27x = 583.98 × 206.61
  4. Step 4: Simplify right side
    389.27x = 120,656.11
  5. Step 5: Solve for x
    x = 120,656.11/389.27
  6. Step 6: Final answer
    x = 309.95

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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.