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Finding the Fourth Proportional to 547.64, 821.55 and 223.23

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Solution

The fourth proportional to 547.64, 821.55 and 223.23 is: 334.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.64 : 821.55 = 223.23 : x
  2. Step 2: Convert to fraction form
    547.64/821.55 = 223.23/x
  3. Step 3: Cross multiply
    547.64x = 821.55 × 223.23
  4. Step 4: Simplify right side
    547.64x = 183,394.61
  5. Step 5: Solve for x
    x = 183,394.61/547.64
  6. Step 6: Final answer
    x = 334.88

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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.