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Finding the Fourth Proportional to 416.21, 572.97 and 360.72

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Solution

The fourth proportional to 416.21, 572.97 and 360.72 is: 496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.21 : 572.97 = 360.72 : x
  2. Step 2: Convert to fraction form
    416.21/572.97 = 360.72/x
  3. Step 3: Cross multiply
    416.21x = 572.97 × 360.72
  4. Step 4: Simplify right side
    416.21x = 206,683.09
  5. Step 5: Solve for x
    x = 206,683.09/416.21
  6. Step 6: Final answer
    x = 496.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.