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Finding the Fourth Proportional to 559.80, 771.72 and 393.50

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Solution

The fourth proportional to 559.80, 771.72 and 393.50 is: 542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.80 : 771.72 = 393.50 : x
  2. Step 2: Convert to fraction form
    559.80/771.72 = 393.50/x
  3. Step 3: Cross multiply
    559.80x = 771.72 × 393.50
  4. Step 4: Simplify right side
    559.80x = 303,673.75
  5. Step 5: Solve for x
    x = 303,673.75/559.80
  6. Step 6: Final answer
    x = 542.47

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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.