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Finding the Fourth Proportional to 446.63, 670.11 and 293.19

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Solution

The fourth proportional to 446.63, 670.11 and 293.19 is: 439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.63 : 670.11 = 293.19 : x
  2. Step 2: Convert to fraction form
    446.63/670.11 = 293.19/x
  3. Step 3: Cross multiply
    446.63x = 670.11 × 293.19
  4. Step 4: Simplify right side
    446.63x = 196,472.83
  5. Step 5: Solve for x
    x = 196,472.83/446.63
  6. Step 6: Final answer
    x = 439.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.