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Finding the Fourth Proportional to 823.56, 1,235.94 and 361.47

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Solution

The fourth proportional to 823.56, 1,235.94 and 361.47 is: 542.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.56 : 1,235.94 = 361.47 : x
  2. Step 2: Convert to fraction form
    823.56/1,235.94 = 361.47/x
  3. Step 3: Cross multiply
    823.56x = 1,235.94 × 361.47
  4. Step 4: Simplify right side
    823.56x = 446,755.23
  5. Step 5: Solve for x
    x = 446,755.23/823.56
  6. Step 6: Final answer
    x = 542.47

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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.