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Finding the Fourth Proportional to 406.76, 609.59 and 189.95

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Solution

The fourth proportional to 406.76, 609.59 and 189.95 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406.76 : 609.59 = 189.95 : x
  2. Step 2: Convert to fraction form
    406.76/609.59 = 189.95/x
  3. Step 3: Cross multiply
    406.76x = 609.59 × 189.95
  4. Step 4: Simplify right side
    406.76x = 115,789.05
  5. Step 5: Solve for x
    x = 115,789.05/406.76
  6. Step 6: Final answer
    x = 284.67

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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.