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Finding the Fourth Proportional to 443.24, 611.64 and 246.74

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Solution

The fourth proportional to 443.24, 611.64 and 246.74 is: 340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.24 : 611.64 = 246.74 : x
  2. Step 2: Convert to fraction form
    443.24/611.64 = 246.74/x
  3. Step 3: Cross multiply
    443.24x = 611.64 × 246.74
  4. Step 4: Simplify right side
    443.24x = 150,916.05
  5. Step 5: Solve for x
    x = 150,916.05/443.24
  6. Step 6: Final answer
    x = 340.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.