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Finding the Fourth Proportional to 355.84, 491.11 and 208.52

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Solution

The fourth proportional to 355.84, 491.11 and 208.52 is: 287.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.84 : 491.11 = 208.52 : x
  2. Step 2: Convert to fraction form
    355.84/491.11 = 208.52/x
  3. Step 3: Cross multiply
    355.84x = 491.11 × 208.52
  4. Step 4: Simplify right side
    355.84x = 102,409.06
  5. Step 5: Solve for x
    x = 102,409.06/355.84
  6. Step 6: Final answer
    x = 287.79

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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.