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Finding the Fourth Proportional to 611.63, 844.03 and 362.80

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Solution

The fourth proportional to 611.63, 844.03 and 362.80 is: 500.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.63 : 844.03 = 362.80 : x
  2. Step 2: Convert to fraction form
    611.63/844.03 = 362.80/x
  3. Step 3: Cross multiply
    611.63x = 844.03 × 362.80
  4. Step 4: Simplify right side
    611.63x = 306,212.27
  5. Step 5: Solve for x
    x = 306,212.27/611.63
  6. Step 6: Final answer
    x = 500.65

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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.