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Finding the Fourth Proportional to 536.07, 739.89 and 361.32

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Solution

The fourth proportional to 536.07, 739.89 and 361.32 is: 498.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.07 : 739.89 = 361.32 : x
  2. Step 2: Convert to fraction form
    536.07/739.89 = 361.32/x
  3. Step 3: Cross multiply
    536.07x = 739.89 × 361.32
  4. Step 4: Simplify right side
    536.07x = 267,337.05
  5. Step 5: Solve for x
    x = 267,337.05/536.07
  6. Step 6: Final answer
    x = 498.70

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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.