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Finding the Fourth Proportional to 417.87, 576.77 and 268.48

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Solution

The fourth proportional to 417.87, 576.77 and 268.48 is: 370.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.87 : 576.77 = 268.48 : x
  2. Step 2: Convert to fraction form
    417.87/576.77 = 268.48/x
  3. Step 3: Cross multiply
    417.87x = 576.77 × 268.48
  4. Step 4: Simplify right side
    417.87x = 154,850.59
  5. Step 5: Solve for x
    x = 154,850.59/417.87
  6. Step 6: Final answer
    x = 370.57

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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.