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Finding the Fourth Proportional to 547.78, 755.93 and 299.09

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Solution

The fourth proportional to 547.78, 755.93 and 299.09 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.78 : 755.93 = 299.09 : x
  2. Step 2: Convert to fraction form
    547.78/755.93 = 299.09/x
  3. Step 3: Cross multiply
    547.78x = 755.93 × 299.09
  4. Step 4: Simplify right side
    547.78x = 226,091.10
  5. Step 5: Solve for x
    x = 226,091.10/547.78
  6. Step 6: Final answer
    x = 412.74

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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.