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Finding the Fourth Proportional to 387.11, 580.06 and 203.95

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Solution

The fourth proportional to 387.11, 580.06 and 203.95 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.11 : 580.06 = 203.95 : x
  2. Step 2: Convert to fraction form
    387.11/580.06 = 203.95/x
  3. Step 3: Cross multiply
    387.11x = 580.06 × 203.95
  4. Step 4: Simplify right side
    387.11x = 118,304.22
  5. Step 5: Solve for x
    x = 118,304.22/387.11
  6. Step 6: Final answer
    x = 305.61

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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.