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Finding the Fourth Proportional to 621.44, 857.76 and 359.56

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Solution

The fourth proportional to 621.44, 857.76 and 359.56 is: 496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.44 : 857.76 = 359.56 : x
  2. Step 2: Convert to fraction form
    621.44/857.76 = 359.56/x
  3. Step 3: Cross multiply
    621.44x = 857.76 × 359.56
  4. Step 4: Simplify right side
    621.44x = 308,416.19
  5. Step 5: Solve for x
    x = 308,416.19/621.44
  6. Step 6: Final answer
    x = 496.29

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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.