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Finding the Fourth Proportional to 547.54, 755.97 and 417.22

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Solution

The fourth proportional to 547.54, 755.97 and 417.22 is: 576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.54 : 755.97 = 417.22 : x
  2. Step 2: Convert to fraction form
    547.54/755.97 = 417.22/x
  3. Step 3: Cross multiply
    547.54x = 755.97 × 417.22
  4. Step 4: Simplify right side
    547.54x = 315,405.80
  5. Step 5: Solve for x
    x = 315,405.80/547.54
  6. Step 6: Final answer
    x = 576.04

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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.