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Finding the Fourth Proportional to 360.38, 497.33 and 205.13

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Solution

The fourth proportional to 360.38, 497.33 and 205.13 is: 283.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.38 : 497.33 = 205.13 : x
  2. Step 2: Convert to fraction form
    360.38/497.33 = 205.13/x
  3. Step 3: Cross multiply
    360.38x = 497.33 × 205.13
  4. Step 4: Simplify right side
    360.38x = 102,017.30
  5. Step 5: Solve for x
    x = 102,017.30/360.38
  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.