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Finding the Fourth Proportional to 389.24, 584.16 and 206.68

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Solution

The fourth proportional to 389.24, 584.16 and 206.68 is: 310.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.24 : 584.16 = 206.68 : x
  2. Step 2: Convert to fraction form
    389.24/584.16 = 206.68/x
  3. Step 3: Cross multiply
    389.24x = 584.16 × 206.68
  4. Step 4: Simplify right side
    389.24x = 120,734.19
  5. Step 5: Solve for x
    x = 120,734.19/389.24
  6. Step 6: Final answer
    x = 310.18

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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.