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Finding the Fourth Proportional to 535.56, 739.46 and 380.52

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Solution

The fourth proportional to 535.56, 739.46 and 380.52 is: 525.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.56 : 739.46 = 380.52 : x
  2. Step 2: Convert to fraction form
    535.56/739.46 = 380.52/x
  3. Step 3: Cross multiply
    535.56x = 739.46 × 380.52
  4. Step 4: Simplify right side
    535.56x = 281,379.32
  5. Step 5: Solve for x
    x = 281,379.32/535.56
  6. Step 6: Final answer
    x = 525.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.