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Finding the Fourth Proportional to 360.37, 497.31 and 205.12

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Solution

The fourth proportional to 360.37, 497.31 and 205.12 is: 283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.37 : 497.31 = 205.12 : x
  2. Step 2: Convert to fraction form
    360.37/497.31 = 205.12/x
  3. Step 3: Cross multiply
    360.37x = 497.31 × 205.12
  4. Step 4: Simplify right side
    360.37x = 102,008.23
  5. Step 5: Solve for x
    x = 102,008.23/360.37
  6. Step 6: Final answer
    x = 283.07

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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.