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Finding the Fourth Proportional to 389.44, 583.64 and 206.64

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Solution

The fourth proportional to 389.44, 583.64 and 206.64 is: 309.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.44 : 583.64 = 206.64 : x
  2. Step 2: Convert to fraction form
    389.44/583.64 = 206.64/x
  3. Step 3: Cross multiply
    389.44x = 583.64 × 206.64
  4. Step 4: Simplify right side
    389.44x = 120,603.37
  5. Step 5: Solve for x
    x = 120,603.37/389.44
  6. Step 6: Final answer
    x = 309.68

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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.