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Finding the Fourth Proportional to 547.02, 754.89 and 298.36

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Solution

The fourth proportional to 547.02, 754.89 and 298.36 is: 411.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.02 : 754.89 = 298.36 : x
  2. Step 2: Convert to fraction form
    547.02/754.89 = 298.36/x
  3. Step 3: Cross multiply
    547.02x = 754.89 × 298.36
  4. Step 4: Simplify right side
    547.02x = 225,227.09
  5. Step 5: Solve for x
    x = 225,227.09/547.02
  6. Step 6: Final answer
    x = 411.73

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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.