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Finding the Fourth Proportional to 355.76, 490.82 and 208.38

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Solution

The fourth proportional to 355.76, 490.82 and 208.38 is: 287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.76 : 490.82 = 208.38 : x
  2. Step 2: Convert to fraction form
    355.76/490.82 = 208.38/x
  3. Step 3: Cross multiply
    355.76x = 490.82 × 208.38
  4. Step 4: Simplify right side
    355.76x = 102,277.07
  5. Step 5: Solve for x
    x = 102,277.07/355.76
  6. Step 6: Final answer
    x = 287.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.