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Finding the Fourth Proportional to 621.76, 857.76 and 447.04

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Solution

The fourth proportional to 621.76, 857.76 and 447.04 is: 616.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.76 : 857.76 = 447.04 : x
  2. Step 2: Convert to fraction form
    621.76/857.76 = 447.04/x
  3. Step 3: Cross multiply
    621.76x = 857.76 × 447.04
  4. Step 4: Simplify right side
    621.76x = 383,453.03
  5. Step 5: Solve for x
    x = 383,453.03/621.76
  6. Step 6: Final answer
    x = 616.72

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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.