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Finding the Fourth Proportional to 547.86, 821.94 and 284.43

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Solution

The fourth proportional to 547.86, 821.94 and 284.43 is: 426.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.86 : 821.94 = 284.43 : x
  2. Step 2: Convert to fraction form
    547.86/821.94 = 284.43/x
  3. Step 3: Cross multiply
    547.86x = 821.94 × 284.43
  4. Step 4: Simplify right side
    547.86x = 233,784.39
  5. Step 5: Solve for x
    x = 233,784.39/547.86
  6. Step 6: Final answer
    x = 426.72

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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.