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Finding the Fourth Proportional to 446.08, 668.40 and 378.40

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Solution

The fourth proportional to 446.08, 668.40 and 378.40 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.08 : 668.40 = 378.40 : x
  2. Step 2: Convert to fraction form
    446.08/668.40 = 378.40/x
  3. Step 3: Cross multiply
    446.08x = 668.40 × 378.40
  4. Step 4: Simplify right side
    446.08x = 252,922.56
  5. Step 5: Solve for x
    x = 252,922.56/446.08
  6. Step 6: Final answer
    x = 566.99

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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.