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Finding the Fourth Proportional to 414.48, 573.12 and 338.16

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Solution

The fourth proportional to 414.48, 573.12 and 338.16 is: 467.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.48 : 573.12 = 338.16 : x
  2. Step 2: Convert to fraction form
    414.48/573.12 = 338.16/x
  3. Step 3: Cross multiply
    414.48x = 573.12 × 338.16
  4. Step 4: Simplify right side
    414.48x = 193,806.26
  5. Step 5: Solve for x
    x = 193,806.26/414.48
  6. Step 6: Final answer
    x = 467.59

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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.