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Finding the Fourth Proportional to 574.78, 793.02 and 338.64

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Solution

The fourth proportional to 574.78, 793.02 and 338.64 is: 467.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.78 : 793.02 = 338.64 : x
  2. Step 2: Convert to fraction form
    574.78/793.02 = 338.64/x
  3. Step 3: Cross multiply
    574.78x = 793.02 × 338.64
  4. Step 4: Simplify right side
    574.78x = 268,548.29
  5. Step 5: Solve for x
    x = 268,548.29/574.78
  6. Step 6: Final answer
    x = 467.22

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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.