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Finding the Fourth Proportional to 461.24, 691.19 and 363.99

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Solution

The fourth proportional to 461.24, 691.19 and 363.99 is: 545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.24 : 691.19 = 363.99 : x
  2. Step 2: Convert to fraction form
    461.24/691.19 = 363.99/x
  3. Step 3: Cross multiply
    461.24x = 691.19 × 363.99
  4. Step 4: Simplify right side
    461.24x = 251,584.43
  5. Step 5: Solve for x
    x = 251,584.43/461.24
  6. Step 6: Final answer
    x = 545.45

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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.