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Finding the Fourth Proportional to 621.84, 858.18 and 359.86

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Solution

The fourth proportional to 621.84, 858.18 and 359.86 is: 496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.84 : 858.18 = 359.86 : x
  2. Step 2: Convert to fraction form
    621.84/858.18 = 359.86/x
  3. Step 3: Cross multiply
    621.84x = 858.18 × 359.86
  4. Step 4: Simplify right side
    621.84x = 308,824.65
  5. Step 5: Solve for x
    x = 308,824.65/621.84
  6. Step 6: Final answer
    x = 496.63

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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.