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Finding the Fourth Proportional to 610.09, 914.85 and 244.78

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Solution

The fourth proportional to 610.09, 914.85 and 244.78 is: 367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.09 : 914.85 = 244.78 : x
  2. Step 2: Convert to fraction form
    610.09/914.85 = 244.78/x
  3. Step 3: Cross multiply
    610.09x = 914.85 × 244.78
  4. Step 4: Simplify right side
    610.09x = 223,934.70
  5. Step 5: Solve for x
    x = 223,934.70/610.09
  6. Step 6: Final answer
    x = 367.05

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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.