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Finding the Fourth Proportional to 574.57, 792.92 and 338.51

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Solution

The fourth proportional to 574.57, 792.92 and 338.51 is: 467.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.57 : 792.92 = 338.51 : x
  2. Step 2: Convert to fraction form
    574.57/792.92 = 338.51/x
  3. Step 3: Cross multiply
    574.57x = 792.92 × 338.51
  4. Step 4: Simplify right side
    574.57x = 268,411.35
  5. Step 5: Solve for x
    x = 268,411.35/574.57
  6. Step 6: Final answer
    x = 467.15

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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.