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Finding the Fourth Proportional to 547.92, 755.77 and 379.58

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Solution

The fourth proportional to 547.92, 755.77 and 379.58 is: 523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.92 : 755.77 = 379.58 : x
  2. Step 2: Convert to fraction form
    547.92/755.77 = 379.58/x
  3. Step 3: Cross multiply
    547.92x = 755.77 × 379.58
  4. Step 4: Simplify right side
    547.92x = 286,875.18
  5. Step 5: Solve for x
    x = 286,875.18/547.92
  6. Step 6: Final answer
    x = 523.57

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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.