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Finding the Fourth Proportional to 360.25, 497.24 and 205.09

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Solution

The fourth proportional to 360.25, 497.24 and 205.09 is: 283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.25 : 497.24 = 205.09 : x
  2. Step 2: Convert to fraction form
    360.25/497.24 = 205.09/x
  3. Step 3: Cross multiply
    360.25x = 497.24 × 205.09
  4. Step 4: Simplify right side
    360.25x = 101,977.93
  5. Step 5: Solve for x
    x = 101,977.93/360.25
  6. Step 6: Final answer
    x = 283.08

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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.