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Finding the Fourth Proportional to 387.46, 580.66 and 204.48

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Solution

The fourth proportional to 387.46, 580.66 and 204.48 is: 306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.46 : 580.66 = 204.48 : x
  2. Step 2: Convert to fraction form
    387.46/580.66 = 204.48/x
  3. Step 3: Cross multiply
    387.46x = 580.66 × 204.48
  4. Step 4: Simplify right side
    387.46x = 118,733.36
  5. Step 5: Solve for x
    x = 118,733.36/387.46
  6. Step 6: Final answer
    x = 306.44

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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.