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Finding the Fourth Proportional to 547.49, 755.14 and 381.74

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Solution

The fourth proportional to 547.49, 755.14 and 381.74 is: 526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.49 : 755.14 = 381.74 : x
  2. Step 2: Convert to fraction form
    547.49/755.14 = 381.74/x
  3. Step 3: Cross multiply
    547.49x = 755.14 × 381.74
  4. Step 4: Simplify right side
    547.49x = 288,267.14
  5. Step 5: Solve for x
    x = 288,267.14/547.49
  6. Step 6: Final answer
    x = 526.52

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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.