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Finding the Fourth Proportional to 621.57, 857.85 and 356.12

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Solution

The fourth proportional to 621.57, 857.85 and 356.12 is: 491.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.57 : 857.85 = 356.12 : x
  2. Step 2: Convert to fraction form
    621.57/857.85 = 356.12/x
  3. Step 3: Cross multiply
    621.57x = 857.85 × 356.12
  4. Step 4: Simplify right side
    621.57x = 305,493.25
  5. Step 5: Solve for x
    x = 305,493.25/621.57
  6. Step 6: Final answer
    x = 491.49

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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.