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Finding the Fourth Proportional to 547.75, 756.18 and 361.54

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Solution

The fourth proportional to 547.75, 756.18 and 361.54 is: 499.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.75 : 756.18 = 361.54 : x
  2. Step 2: Convert to fraction form
    547.75/756.18 = 361.54/x
  3. Step 3: Cross multiply
    547.75x = 756.18 × 361.54
  4. Step 4: Simplify right side
    547.75x = 273,387.51
  5. Step 5: Solve for x
    x = 273,387.51/547.75
  6. Step 6: Final answer
    x = 499.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.