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Finding the Fourth Proportional to 547.31, 755.31 and 298.64

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Solution

The fourth proportional to 547.31, 755.31 and 298.64 is: 412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.31 : 755.31 = 298.64 : x
  2. Step 2: Convert to fraction form
    547.31/755.31 = 298.64/x
  3. Step 3: Cross multiply
    547.31x = 755.31 × 298.64
  4. Step 4: Simplify right side
    547.31x = 225,560.51
  5. Step 5: Solve for x
    x = 225,560.51/547.31
  6. Step 6: Final answer
    x = 412.13

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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.