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Finding the Fourth Proportional to 535.50, 739.06 and 361.22

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Solution

The fourth proportional to 535.50, 739.06 and 361.22 is: 498.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.50 : 739.06 = 361.22 : x
  2. Step 2: Convert to fraction form
    535.50/739.06 = 361.22/x
  3. Step 3: Cross multiply
    535.50x = 739.06 × 361.22
  4. Step 4: Simplify right side
    535.50x = 266,958.65
  5. Step 5: Solve for x
    x = 266,958.65/535.50
  6. Step 6: Final answer
    x = 498.52

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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.