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Finding the Fourth Proportional to 417.36, 576.72 and 286.80

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Solution

The fourth proportional to 417.36, 576.72 and 286.80 is: 396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.36 : 576.72 = 286.80 : x
  2. Step 2: Convert to fraction form
    417.36/576.72 = 286.80/x
  3. Step 3: Cross multiply
    417.36x = 576.72 × 286.80
  4. Step 4: Simplify right side
    417.36x = 165,403.30
  5. Step 5: Solve for x
    x = 165,403.30/417.36
  6. Step 6: Final answer
    x = 396.31

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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.