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Finding the Fourth Proportional to 547.88, 755.30 and 361.08

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Solution

The fourth proportional to 547.88, 755.30 and 361.08 is: 497.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.88 : 755.30 = 361.08 : x
  2. Step 2: Convert to fraction form
    547.88/755.30 = 361.08/x
  3. Step 3: Cross multiply
    547.88x = 755.30 × 361.08
  4. Step 4: Simplify right side
    547.88x = 272,721.92
  5. Step 5: Solve for x
    x = 272,721.92/547.88
  6. Step 6: Final answer
    x = 497.78

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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.