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Finding the Fourth Proportional to 446.52, 668.64 and 377.88

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Solution

The fourth proportional to 446.52, 668.64 and 377.88 is: 565.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.52 : 668.64 = 377.88 : x
  2. Step 2: Convert to fraction form
    446.52/668.64 = 377.88/x
  3. Step 3: Cross multiply
    446.52x = 668.64 × 377.88
  4. Step 4: Simplify right side
    446.52x = 252,665.68
  5. Step 5: Solve for x
    x = 252,665.68/446.52
  6. Step 6: Final answer
    x = 565.86

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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.