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Finding the Fourth Proportional to 547.57, 824.44 and 482.97

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Solution

The fourth proportional to 547.57, 824.44 and 482.97 is: 727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.57 : 824.44 = 482.97 : x
  2. Step 2: Convert to fraction form
    547.57/824.44 = 482.97/x
  3. Step 3: Cross multiply
    547.57x = 824.44 × 482.97
  4. Step 4: Simplify right side
    547.57x = 398,178.58
  5. Step 5: Solve for x
    x = 398,178.58/547.57
  6. Step 6: Final answer
    x = 727.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.