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Finding the Fourth Proportional to 386.39, 580.01 and 203.73

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Solution

The fourth proportional to 386.39, 580.01 and 203.73 is: 305.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.39 : 580.01 = 203.73 : x
  2. Step 2: Convert to fraction form
    386.39/580.01 = 203.73/x
  3. Step 3: Cross multiply
    386.39x = 580.01 × 203.73
  4. Step 4: Simplify right side
    386.39x = 118,164.42
  5. Step 5: Solve for x
    x = 118,164.42/386.39
  6. Step 6: Final answer
    x = 305.82

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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.