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Finding the Fourth Proportional to 536.96, 739.84 and 381.44

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Solution

The fourth proportional to 536.96, 739.84 and 381.44 is: 525.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.96 : 739.84 = 381.44 : x
  2. Step 2: Convert to fraction form
    536.96/739.84 = 381.44/x
  3. Step 3: Cross multiply
    536.96x = 739.84 × 381.44
  4. Step 4: Simplify right side
    536.96x = 282,204.57
  5. Step 5: Solve for x
    x = 282,204.57/536.96
  6. Step 6: Final answer
    x = 525.56

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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.