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Finding the Fourth Proportional to 416.08, 574.65 and 323.93

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Solution

The fourth proportional to 416.08, 574.65 and 323.93 is: 447.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.08 : 574.65 = 323.93 : x
  2. Step 2: Convert to fraction form
    416.08/574.65 = 323.93/x
  3. Step 3: Cross multiply
    416.08x = 574.65 × 323.93
  4. Step 4: Simplify right side
    416.08x = 186,146.37
  5. Step 5: Solve for x
    x = 186,146.37/416.08
  6. Step 6: Final answer
    x = 447.39

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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.