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Finding the Fourth Proportional to 389.01, 583.63 and 206.38

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Solution

The fourth proportional to 389.01, 583.63 and 206.38 is: 309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.01 : 583.63 = 206.38 : x
  2. Step 2: Convert to fraction form
    389.01/583.63 = 206.38/x
  3. Step 3: Cross multiply
    389.01x = 583.63 × 206.38
  4. Step 4: Simplify right side
    389.01x = 120,447.58
  5. Step 5: Solve for x
    x = 120,447.58/389.01
  6. Step 6: Final answer
    x = 309.63

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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.