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Finding the Fourth Proportional to 547.47, 755.52 and 298.79

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Solution

The fourth proportional to 547.47, 755.52 and 298.79 is: 412.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.47 : 755.52 = 298.79 : x
  2. Step 2: Convert to fraction form
    547.47/755.52 = 298.79/x
  3. Step 3: Cross multiply
    547.47x = 755.52 × 298.79
  4. Step 4: Simplify right side
    547.47x = 225,743.71
  5. Step 5: Solve for x
    x = 225,743.71/547.47
  6. Step 6: Final answer
    x = 412.34

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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.