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Finding the Fourth Proportional to 536.71, 739.47 and 447.87

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Solution

The fourth proportional to 536.71, 739.47 and 447.87 is: 617.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.71 : 739.47 = 447.87 : x
  2. Step 2: Convert to fraction form
    536.71/739.47 = 447.87/x
  3. Step 3: Cross multiply
    536.71x = 739.47 × 447.87
  4. Step 4: Simplify right side
    536.71x = 331,186.43
  5. Step 5: Solve for x
    x = 331,186.43/536.71
  6. Step 6: Final answer
    x = 617.07

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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.