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Finding the Fourth Proportional to 386.69, 580.08 and 204.09

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Solution

The fourth proportional to 386.69, 580.08 and 204.09 is: 306.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.69 : 580.08 = 204.09 : x
  2. Step 2: Convert to fraction form
    386.69/580.08 = 204.09/x
  3. Step 3: Cross multiply
    386.69x = 580.08 × 204.09
  4. Step 4: Simplify right side
    386.69x = 118,387.51
  5. Step 5: Solve for x
    x = 118,387.51/386.69
  6. Step 6: Final answer
    x = 306.16

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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.