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Finding the Fourth Proportional to 389.49, 584.06 and 206.84

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Solution

The fourth proportional to 389.49, 584.06 and 206.84 is: 310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.49 : 584.06 = 206.84 : x
  2. Step 2: Convert to fraction form
    389.49/584.06 = 206.84/x
  3. Step 3: Cross multiply
    389.49x = 584.06 × 206.84
  4. Step 4: Simplify right side
    389.49x = 120,807.40
  5. Step 5: Solve for x
    x = 120,807.40/389.49
  6. Step 6: Final answer
    x = 310.17

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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.