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Finding the Fourth Proportional to 406.32, 608.62 and 174.91

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Solution

The fourth proportional to 406.32, 608.62 and 174.91 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.32 : 608.62 = 174.91 : x
  2. Step 2: Convert to fraction form
    406.32/608.62 = 174.91/x
  3. Step 3: Cross multiply
    406.32x = 608.62 × 174.91
  4. Step 4: Simplify right side
    406.32x = 106,453.72
  5. Step 5: Solve for x
    x = 106,453.72/406.32
  6. Step 6: Final answer
    x = 261.99

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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.