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Finding the Fourth Proportional to 547.49, 755.36 and 361.07

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Solution

The fourth proportional to 547.49, 755.36 and 361.07 is: 498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.49 : 755.36 = 361.07 : x
  2. Step 2: Convert to fraction form
    547.49/755.36 = 361.07/x
  3. Step 3: Cross multiply
    547.49x = 755.36 × 361.07
  4. Step 4: Simplify right side
    547.49x = 272,740.69
  5. Step 5: Solve for x
    x = 272,740.69/547.49
  6. Step 6: Final answer
    x = 498.16

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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.