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Finding the Fourth Proportional to 547.97, 756.05 and 371.01

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Solution

The fourth proportional to 547.97, 756.05 and 371.01 is: 511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.97 : 756.05 = 371.01 : x
  2. Step 2: Convert to fraction form
    547.97/756.05 = 371.01/x
  3. Step 3: Cross multiply
    547.97x = 756.05 × 371.01
  4. Step 4: Simplify right side
    547.97x = 280,503.09
  5. Step 5: Solve for x
    x = 280,503.09/547.97
  6. Step 6: Final answer
    x = 511.90

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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.