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Finding the Fourth Proportional to 611.86, 844.20 and 363.07

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Solution

The fourth proportional to 611.86, 844.20 and 363.07 is: 500.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.86 : 844.20 = 363.07 : x
  2. Step 2: Convert to fraction form
    611.86/844.20 = 363.07/x
  3. Step 3: Cross multiply
    611.86x = 844.20 × 363.07
  4. Step 4: Simplify right side
    611.86x = 306,503.69
  5. Step 5: Solve for x
    x = 306,503.69/611.86
  6. Step 6: Final answer
    x = 500.94

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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.