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Finding the Fourth Proportional to 360.49, 497.49 and 205.24

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Solution

The fourth proportional to 360.49, 497.49 and 205.24 is: 283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.49 : 497.49 = 205.24 : x
  2. Step 2: Convert to fraction form
    360.49/497.49 = 205.24/x
  3. Step 3: Cross multiply
    360.49x = 497.49 × 205.24
  4. Step 4: Simplify right side
    360.49x = 102,104.85
  5. Step 5: Solve for x
    x = 102,104.85/360.49
  6. Step 6: Final answer
    x = 283.24

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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.