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Finding the Fourth Proportional to 416.72, 575.17 and 397.19

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Solution

The fourth proportional to 416.72, 575.17 and 397.19 is: 548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.72 : 575.17 = 397.19 : x
  2. Step 2: Convert to fraction form
    416.72/575.17 = 397.19/x
  3. Step 3: Cross multiply
    416.72x = 575.17 × 397.19
  4. Step 4: Simplify right side
    416.72x = 228,447.90
  5. Step 5: Solve for x
    x = 228,447.90/416.72
  6. Step 6: Final answer
    x = 548.21

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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.