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Finding the Fourth Proportional to 824.16, 1,235.94 and 361.80

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Solution

The fourth proportional to 824.16, 1,235.94 and 361.80 is: 542.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.16 : 1,235.94 = 361.80 : x
  2. Step 2: Convert to fraction form
    824.16/1,235.94 = 361.80/x
  3. Step 3: Cross multiply
    824.16x = 1,235.94 × 361.80
  4. Step 4: Simplify right side
    824.16x = 447,163.09
  5. Step 5: Solve for x
    x = 447,163.09/824.16
  6. Step 6: Final answer
    x = 542.57

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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.