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Finding the Fourth Proportional to 406.57, 609.81 and 175.42

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Solution

The fourth proportional to 406.57, 609.81 and 175.42 is: 263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.57 : 609.81 = 175.42 : x
  2. Step 2: Convert to fraction form
    406.57/609.81 = 175.42/x
  3. Step 3: Cross multiply
    406.57x = 609.81 × 175.42
  4. Step 4: Simplify right side
    406.57x = 106,972.87
  5. Step 5: Solve for x
    x = 106,972.87/406.57
  6. Step 6: Final answer
    x = 263.11

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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.