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Finding the Fourth Proportional to 547.47, 821.66 and 222.85

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Solution

The fourth proportional to 547.47, 821.66 and 222.85 is: 334.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.47 : 821.66 = 222.85 : x
  2. Step 2: Convert to fraction form
    547.47/821.66 = 222.85/x
  3. Step 3: Cross multiply
    547.47x = 821.66 × 222.85
  4. Step 4: Simplify right side
    547.47x = 183,106.93
  5. Step 5: Solve for x
    x = 183,106.93/547.47
  6. Step 6: Final answer
    x = 334.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.