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Finding the Fourth Proportional to 547.24, 755.20 and 298.57

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Solution

The fourth proportional to 547.24, 755.20 and 298.57 is: 412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.24 : 755.20 = 298.57 : x
  2. Step 2: Convert to fraction form
    547.24/755.20 = 298.57/x
  3. Step 3: Cross multiply
    547.24x = 755.20 × 298.57
  4. Step 4: Simplify right side
    547.24x = 225,477.43
  5. Step 5: Solve for x
    x = 225,477.43/547.24
  6. Step 6: Final answer
    x = 412.03

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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.