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Finding the Fourth Proportional to 417.86, 576.14 and 260.44

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Solution

The fourth proportional to 417.86, 576.14 and 260.44 is: 359.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.86 : 576.14 = 260.44 : x
  2. Step 2: Convert to fraction form
    417.86/576.14 = 260.44/x
  3. Step 3: Cross multiply
    417.86x = 576.14 × 260.44
  4. Step 4: Simplify right side
    417.86x = 150,049.90
  5. Step 5: Solve for x
    x = 150,049.90/417.86
  6. Step 6: Final answer
    x = 359.09

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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.