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Finding the Fourth Proportional to 443.08, 664.02 and 314.56

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Solution

The fourth proportional to 443.08, 664.02 and 314.56 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.08 : 664.02 = 314.56 : x
  2. Step 2: Convert to fraction form
    443.08/664.02 = 314.56/x
  3. Step 3: Cross multiply
    443.08x = 664.02 × 314.56
  4. Step 4: Simplify right side
    443.08x = 208,874.13
  5. Step 5: Solve for x
    x = 208,874.13/443.08
  6. Step 6: Final answer
    x = 471.41

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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.