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Finding the Fourth Proportional to 621.46, 857.36 and 411.74

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Solution

The fourth proportional to 621.46, 857.36 and 411.74 is: 568.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.46 : 857.36 = 411.74 : x
  2. Step 2: Convert to fraction form
    621.46/857.36 = 411.74/x
  3. Step 3: Cross multiply
    621.46x = 857.36 × 411.74
  4. Step 4: Simplify right side
    621.46x = 353,009.41
  5. Step 5: Solve for x
    x = 353,009.41/621.46
  6. Step 6: Final answer
    x = 568.03

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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.