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Finding the Fourth Proportional to 469.64, 704.30 and 161.43

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Solution

The fourth proportional to 469.64, 704.30 and 161.43 is: 242.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.64 : 704.30 = 161.43 : x
  2. Step 2: Convert to fraction form
    469.64/704.30 = 161.43/x
  3. Step 3: Cross multiply
    469.64x = 704.30 × 161.43
  4. Step 4: Simplify right side
    469.64x = 113,694.34
  5. Step 5: Solve for x
    x = 113,694.34/469.64
  6. Step 6: Final answer
    x = 242.09

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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.