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Finding the Fourth Proportional to 469.54, 704.40 and 238.44

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Solution

The fourth proportional to 469.54, 704.40 and 238.44 is: 357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.54 : 704.40 = 238.44 : x
  2. Step 2: Convert to fraction form
    469.54/704.40 = 238.44/x
  3. Step 3: Cross multiply
    469.54x = 704.40 × 238.44
  4. Step 4: Simplify right side
    469.54x = 167,957.14
  5. Step 5: Solve for x
    x = 167,957.14/469.54
  6. Step 6: Final answer
    x = 357.71

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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.