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Finding the Fourth Proportional to 621.45, 857.73 and 411.66

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Solution

The fourth proportional to 621.45, 857.73 and 411.66 is: 568.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.45 : 857.73 = 411.66 : x
  2. Step 2: Convert to fraction form
    621.45/857.73 = 411.66/x
  3. Step 3: Cross multiply
    621.45x = 857.73 × 411.66
  4. Step 4: Simplify right side
    621.45x = 353,093.13
  5. Step 5: Solve for x
    x = 353,093.13/621.45
  6. Step 6: Final answer
    x = 568.18

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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.