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Finding the Fourth Proportional to 416.26, 574.04 and 317.85

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Solution

The fourth proportional to 416.26, 574.04 and 317.85 is: 438.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.26 : 574.04 = 317.85 : x
  2. Step 2: Convert to fraction form
    416.26/574.04 = 317.85/x
  3. Step 3: Cross multiply
    416.26x = 574.04 × 317.85
  4. Step 4: Simplify right side
    416.26x = 182,458.61
  5. Step 5: Solve for x
    x = 182,458.61/416.26
  6. Step 6: Final answer
    x = 438.33

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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.