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Finding the Fourth Proportional to 406.40, 609.50 and 189.76

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Solution

The fourth proportional to 406.40, 609.50 and 189.76 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.40 : 609.50 = 189.76 : x
  2. Step 2: Convert to fraction form
    406.40/609.50 = 189.76/x
  3. Step 3: Cross multiply
    406.40x = 609.50 × 189.76
  4. Step 4: Simplify right side
    406.40x = 115,658.72
  5. Step 5: Solve for x
    x = 115,658.72/406.40
  6. Step 6: Final answer
    x = 284.59

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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.