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Finding the Fourth Proportional to 406.32, 609.44 and 232.44

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Solution

The fourth proportional to 406.32, 609.44 and 232.44 is: 348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.32 : 609.44 = 232.44 : x
  2. Step 2: Convert to fraction form
    406.32/609.44 = 232.44/x
  3. Step 3: Cross multiply
    406.32x = 609.44 × 232.44
  4. Step 4: Simplify right side
    406.32x = 141,658.23
  5. Step 5: Solve for x
    x = 141,658.23/406.32
  6. Step 6: Final answer
    x = 348.64

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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.