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Finding the Fourth Proportional to 467.91, 702.27 and 406.76

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Solution

The fourth proportional to 467.91, 702.27 and 406.76 is: 610.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.91 : 702.27 = 406.76 : x
  2. Step 2: Convert to fraction form
    467.91/702.27 = 406.76/x
  3. Step 3: Cross multiply
    467.91x = 702.27 × 406.76
  4. Step 4: Simplify right side
    467.91x = 285,651.83
  5. Step 5: Solve for x
    x = 285,651.83/467.91
  6. Step 6: Final answer
    x = 610.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.