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Finding the Fourth Proportional to 360.23, 497.09 and 202.89

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Solution

The fourth proportional to 360.23, 497.09 and 202.89 is: 279.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.23 : 497.09 = 202.89 : x
  2. Step 2: Convert to fraction form
    360.23/497.09 = 202.89/x
  3. Step 3: Cross multiply
    360.23x = 497.09 × 202.89
  4. Step 4: Simplify right side
    360.23x = 100,854.59
  5. Step 5: Solve for x
    x = 100,854.59/360.23
  6. Step 6: Final answer
    x = 279.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.