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Finding the Fourth Proportional to 416.73, 625.26 and 301.32

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Solution

The fourth proportional to 416.73, 625.26 and 301.32 is: 452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.73 : 625.26 = 301.32 : x
  2. Step 2: Convert to fraction form
    416.73/625.26 = 301.32/x
  3. Step 3: Cross multiply
    416.73x = 625.26 × 301.32
  4. Step 4: Simplify right side
    416.73x = 188,403.34
  5. Step 5: Solve for x
    x = 188,403.34/416.73
  6. Step 6: Final answer
    x = 452.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.