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Finding the Fourth Proportional to 547.20, 816.24 and 505.44

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Solution

The fourth proportional to 547.20, 816.24 and 505.44 is: 753.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.20 : 816.24 = 505.44 : x
  2. Step 2: Convert to fraction form
    547.20/816.24 = 505.44/x
  3. Step 3: Cross multiply
    547.20x = 816.24 × 505.44
  4. Step 4: Simplify right side
    547.20x = 412,560.35
  5. Step 5: Solve for x
    x = 412,560.35/547.20
  6. Step 6: Final answer
    x = 753.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.