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Finding the Fourth Proportional to 621.11, 857.31 and 411.32

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Solution

The fourth proportional to 621.11, 857.31 and 411.32 is: 567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.11 : 857.31 = 411.32 : x
  2. Step 2: Convert to fraction form
    621.11/857.31 = 411.32/x
  3. Step 3: Cross multiply
    621.11x = 857.31 × 411.32
  4. Step 4: Simplify right side
    621.11x = 352,628.75
  5. Step 5: Solve for x
    x = 352,628.75/621.11
  6. Step 6: Final answer
    x = 567.74

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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.