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Finding the Fourth Proportional to 621.92, 857.78 and 411.72

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Solution

The fourth proportional to 621.92, 857.78 and 411.72 is: 567.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.92 : 857.78 = 411.72 : x
  2. Step 2: Convert to fraction form
    621.92/857.78 = 411.72/x
  3. Step 3: Cross multiply
    621.92x = 857.78 × 411.72
  4. Step 4: Simplify right side
    621.92x = 353,165.18
  5. Step 5: Solve for x
    x = 353,165.18/621.92
  6. Step 6: Final answer
    x = 567.86

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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.