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Finding the Fourth Proportional to 823.57, 1,235.88 and 361.36

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Solution

The fourth proportional to 823.57, 1,235.88 and 361.36 is: 542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.57 : 1,235.88 = 361.36 : x
  2. Step 2: Convert to fraction form
    823.57/1,235.88 = 361.36/x
  3. Step 3: Cross multiply
    823.57x = 1,235.88 × 361.36
  4. Step 4: Simplify right side
    823.57x = 446,597.60
  5. Step 5: Solve for x
    x = 446,597.60/823.57
  6. Step 6: Final answer
    x = 542.27

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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.