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Finding the Fourth Proportional to 406.09, 609.23 and 175.01

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Solution

The fourth proportional to 406.09, 609.23 and 175.01 is: 262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.09 : 609.23 = 175.01 : x
  2. Step 2: Convert to fraction form
    406.09/609.23 = 175.01/x
  3. Step 3: Cross multiply
    406.09x = 609.23 × 175.01
  4. Step 4: Simplify right side
    406.09x = 106,623.61
  5. Step 5: Solve for x
    x = 106,623.61/406.09
  6. Step 6: Final answer
    x = 262.56

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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.