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Finding the Fourth Proportional to 626.86, 865.14 and 361.34

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Solution

The fourth proportional to 626.86, 865.14 and 361.34 is: 498.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.86 : 865.14 = 361.34 : x
  2. Step 2: Convert to fraction form
    626.86/865.14 = 361.34/x
  3. Step 3: Cross multiply
    626.86x = 865.14 × 361.34
  4. Step 4: Simplify right side
    626.86x = 312,605.36
  5. Step 5: Solve for x
    x = 312,605.36/626.86
  6. Step 6: Final answer
    x = 498.69

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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.