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Finding the Fourth Proportional to 559.74, 839.67 and 533.52

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Solution

The fourth proportional to 559.74, 839.67 and 533.52 is: 800.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.74 : 839.67 = 533.52 : x
  2. Step 2: Convert to fraction form
    559.74/839.67 = 533.52/x
  3. Step 3: Cross multiply
    559.74x = 839.67 × 533.52
  4. Step 4: Simplify right side
    559.74x = 447,978.74
  5. Step 5: Solve for x
    x = 447,978.74/559.74
  6. Step 6: Final answer
    x = 800.33

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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.