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Finding the Fourth Proportional to 363.38, 545.07 and 258.82

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Solution

The fourth proportional to 363.38, 545.07 and 258.82 is: 388.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.38 : 545.07 = 258.82 : x
  2. Step 2: Convert to fraction form
    363.38/545.07 = 258.82/x
  3. Step 3: Cross multiply
    363.38x = 545.07 × 258.82
  4. Step 4: Simplify right side
    363.38x = 141,071.00
  5. Step 5: Solve for x
    x = 141,071.00/363.38
  6. Step 6: Final answer
    x = 388.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.