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Finding the Fourth Proportional to 547.67, 822.39 and 362.86

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Solution

The fourth proportional to 547.67, 822.39 and 362.86 is: 544.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.67 : 822.39 = 362.86 : x
  2. Step 2: Convert to fraction form
    547.67/822.39 = 362.86/x
  3. Step 3: Cross multiply
    547.67x = 822.39 × 362.86
  4. Step 4: Simplify right side
    547.67x = 298,410.38
  5. Step 5: Solve for x
    x = 298,410.38/547.67
  6. Step 6: Final answer
    x = 544.87

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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.