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Finding the Fourth Proportional to 823.57, 1,235.25 and 361.26

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Solution

The fourth proportional to 823.57, 1,235.25 and 361.26 is: 541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.57 : 1,235.25 = 361.26 : x
  2. Step 2: Convert to fraction form
    823.57/1,235.25 = 361.26/x
  3. Step 3: Cross multiply
    823.57x = 1,235.25 × 361.26
  4. Step 4: Simplify right side
    823.57x = 446,246.42
  5. Step 5: Solve for x
    x = 446,246.42/823.57
  6. Step 6: Final answer
    x = 541.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.