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Finding the Fourth Proportional to 356.09, 491.24 and 208.65

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Solution

The fourth proportional to 356.09, 491.24 and 208.65 is: 287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.09 : 491.24 = 208.65 : x
  2. Step 2: Convert to fraction form
    356.09/491.24 = 208.65/x
  3. Step 3: Cross multiply
    356.09x = 491.24 × 208.65
  4. Step 4: Simplify right side
    356.09x = 102,498.02
  5. Step 5: Solve for x
    x = 102,498.02/356.09
  6. Step 6: Final answer
    x = 287.85

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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.