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Finding the Fourth Proportional to 446.24, 669.44 and 189.76

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Solution

The fourth proportional to 446.24, 669.44 and 189.76 is: 284.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.24 : 669.44 = 189.76 : x
  2. Step 2: Convert to fraction form
    446.24/669.44 = 189.76/x
  3. Step 3: Cross multiply
    446.24x = 669.44 × 189.76
  4. Step 4: Simplify right side
    446.24x = 127,032.93
  5. Step 5: Solve for x
    x = 127,032.93/446.24
  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.