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Finding the Fourth Proportional to 548.39, 755.97 and 417.17

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Solution

The fourth proportional to 548.39, 755.97 and 417.17 is: 575.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.39 : 755.97 = 417.17 : x
  2. Step 2: Convert to fraction form
    548.39/755.97 = 417.17/x
  3. Step 3: Cross multiply
    548.39x = 755.97 × 417.17
  4. Step 4: Simplify right side
    548.39x = 315,364.23
  5. Step 5: Solve for x
    x = 315,364.23/548.39
  6. Step 6: Final answer
    x = 575.08

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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.