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Finding the Fourth Proportional to 417.59, 576.19 and 286.55

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Solution

The fourth proportional to 417.59, 576.19 and 286.55 is: 395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.59 : 576.19 = 286.55 : x
  2. Step 2: Convert to fraction form
    417.59/576.19 = 286.55/x
  3. Step 3: Cross multiply
    417.59x = 576.19 × 286.55
  4. Step 4: Simplify right side
    417.59x = 165,107.24
  5. Step 5: Solve for x
    x = 165,107.24/417.59
  6. Step 6: Final answer
    x = 395.38

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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.