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Finding the Fourth Proportional to 381.75, 572.25 and 208.46

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Solution

The fourth proportional to 381.75, 572.25 and 208.46 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.75 : 572.25 = 208.46 : x
  2. Step 2: Convert to fraction form
    381.75/572.25 = 208.46/x
  3. Step 3: Cross multiply
    381.75x = 572.25 × 208.46
  4. Step 4: Simplify right side
    381.75x = 119,291.24
  5. Step 5: Solve for x
    x = 119,291.24/381.75
  6. Step 6: Final answer
    x = 312.49

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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.