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Finding the Fourth Proportional to 406.62, 609.81 and 175.50

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Solution

The fourth proportional to 406.62, 609.81 and 175.50 is: 263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.62 : 609.81 = 175.50 : x
  2. Step 2: Convert to fraction form
    406.62/609.81 = 175.50/x
  3. Step 3: Cross multiply
    406.62x = 609.81 × 175.50
  4. Step 4: Simplify right side
    406.62x = 107,021.66
  5. Step 5: Solve for x
    x = 107,021.66/406.62
  6. Step 6: Final answer
    x = 263.20

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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.