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Finding the Fourth Proportional to 559.85, 771.75 and 393.80

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Solution

The fourth proportional to 559.85, 771.75 and 393.80 is: 542.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.85 : 771.75 = 393.80 : x
  2. Step 2: Convert to fraction form
    559.85/771.75 = 393.80/x
  3. Step 3: Cross multiply
    559.85x = 771.75 × 393.80
  4. Step 4: Simplify right side
    559.85x = 303,917.08
  5. Step 5: Solve for x
    x = 303,917.08/559.85
  6. Step 6: Final answer
    x = 542.85

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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.