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Finding the Fourth Proportional to 443.37, 664.47 and 209.02

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Solution

The fourth proportional to 443.37, 664.47 and 209.02 is: 313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.37 : 664.47 = 209.02 : x
  2. Step 2: Convert to fraction form
    443.37/664.47 = 209.02/x
  3. Step 3: Cross multiply
    443.37x = 664.47 × 209.02
  4. Step 4: Simplify right side
    443.37x = 138,887.52
  5. Step 5: Solve for x
    x = 138,887.52/443.37
  6. Step 6: Final answer
    x = 313.25

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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.