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Finding the Fourth Proportional to 558.50, 769.86 and 440.19

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Solution

The fourth proportional to 558.50, 769.86 and 440.19 is: 606.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.50 : 769.86 = 440.19 : x
  2. Step 2: Convert to fraction form
    558.50/769.86 = 440.19/x
  3. Step 3: Cross multiply
    558.50x = 769.86 × 440.19
  4. Step 4: Simplify right side
    558.50x = 338,884.67
  5. Step 5: Solve for x
    x = 338,884.67/558.50
  6. Step 6: Final answer
    x = 606.78

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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.