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Finding the Fourth Proportional to 416.72, 574.82 and 334.03

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Solution

The fourth proportional to 416.72, 574.82 and 334.03 is: 460.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 574.82 = 334.03 : x
  2. Step 2: Convert to fraction form
    416.72/574.82 = 334.03/x
  3. Step 3: Cross multiply
    416.72x = 574.82 × 334.03
  4. Step 4: Simplify right side
    416.72x = 192,003.42
  5. Step 5: Solve for x
    x = 192,003.42/416.72
  6. Step 6: Final answer
    x = 460.75

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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.