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Finding the Fourth Proportional to 547.89, 755.93 and 338.23

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Solution

The fourth proportional to 547.89, 755.93 and 338.23 is: 466.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.89 : 755.93 = 338.23 : x
  2. Step 2: Convert to fraction form
    547.89/755.93 = 338.23/x
  3. Step 3: Cross multiply
    547.89x = 755.93 × 338.23
  4. Step 4: Simplify right side
    547.89x = 255,678.20
  5. Step 5: Solve for x
    x = 255,678.20/547.89
  6. Step 6: Final answer
    x = 466.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.