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Finding the Fourth Proportional to 406.09, 608.67 and 174.91

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Solution

The fourth proportional to 406.09, 608.67 and 174.91 is: 262.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.09 : 608.67 = 174.91 : x
  2. Step 2: Convert to fraction form
    406.09/608.67 = 174.91/x
  3. Step 3: Cross multiply
    406.09x = 608.67 × 174.91
  4. Step 4: Simplify right side
    406.09x = 106,462.47
  5. Step 5: Solve for x
    x = 106,462.47/406.09
  6. Step 6: Final answer
    x = 262.16

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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.