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Finding the Fourth Proportional to 547.42, 821.34 and 222.82

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Solution

The fourth proportional to 547.42, 821.34 and 222.82 is: 334.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.42 : 821.34 = 222.82 : x
  2. Step 2: Convert to fraction form
    547.42/821.34 = 222.82/x
  3. Step 3: Cross multiply
    547.42x = 821.34 × 222.82
  4. Step 4: Simplify right side
    547.42x = 183,010.98
  5. Step 5: Solve for x
    x = 183,010.98/547.42
  6. Step 6: Final answer
    x = 334.32

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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.