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Finding the Fourth Proportional to 547.72, 755.66 and 337.82

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Solution

The fourth proportional to 547.72, 755.66 and 337.82 is: 466.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.72 : 755.66 = 337.82 : x
  2. Step 2: Convert to fraction form
    547.72/755.66 = 337.82/x
  3. Step 3: Cross multiply
    547.72x = 755.66 × 337.82
  4. Step 4: Simplify right side
    547.72x = 255,277.06
  5. Step 5: Solve for x
    x = 255,277.06/547.72
  6. Step 6: Final answer
    x = 466.07

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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.