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Finding the Fourth Proportional to 626.93, 865.10 and 361.41

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Solution

The fourth proportional to 626.93, 865.10 and 361.41 is: 498.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.93 : 865.10 = 361.41 : x
  2. Step 2: Convert to fraction form
    626.93/865.10 = 361.41/x
  3. Step 3: Cross multiply
    626.93x = 865.10 × 361.41
  4. Step 4: Simplify right side
    626.93x = 312,653.98
  5. Step 5: Solve for x
    x = 312,653.98/626.93
  6. Step 6: Final answer
    x = 498.71

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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.