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Finding the Fourth Proportional to 536.77, 739.96 and 381.25

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Solution

The fourth proportional to 536.77, 739.96 and 381.25 is: 525.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.77 : 739.96 = 381.25 : x
  2. Step 2: Convert to fraction form
    536.77/739.96 = 381.25/x
  3. Step 3: Cross multiply
    536.77x = 739.96 × 381.25
  4. Step 4: Simplify right side
    536.77x = 282,109.75
  5. Step 5: Solve for x
    x = 282,109.75/536.77
  6. Step 6: Final answer
    x = 525.57

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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.