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Finding the Fourth Proportional to 574.52, 792.79 and 338.48

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Solution

The fourth proportional to 574.52, 792.79 and 338.48 is: 467.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.52 : 792.79 = 338.48 : x
  2. Step 2: Convert to fraction form
    574.52/792.79 = 338.48/x
  3. Step 3: Cross multiply
    574.52x = 792.79 × 338.48
  4. Step 4: Simplify right side
    574.52x = 268,341.72
  5. Step 5: Solve for x
    x = 268,341.72/574.52
  6. Step 6: Final answer
    x = 467.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.