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Finding the Fourth Proportional to 416.83, 625.65 and 318.41

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Solution

The fourth proportional to 416.83, 625.65 and 318.41 is: 477.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.83 : 625.65 = 318.41 : x
  2. Step 2: Convert to fraction form
    416.83/625.65 = 318.41/x
  3. Step 3: Cross multiply
    416.83x = 625.65 × 318.41
  4. Step 4: Simplify right side
    416.83x = 199,213.22
  5. Step 5: Solve for x
    x = 199,213.22/416.83
  6. Step 6: Final answer
    x = 477.92

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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.