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Finding the Fourth Proportional to 627.50, 865.94 and 361.94

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Solution

The fourth proportional to 627.50, 865.94 and 361.94 is: 499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.50 : 865.94 = 361.94 : x
  2. Step 2: Convert to fraction form
    627.50/865.94 = 361.94/x
  3. Step 3: Cross multiply
    627.50x = 865.94 × 361.94
  4. Step 4: Simplify right side
    627.50x = 313,417.06
  5. Step 5: Solve for x
    x = 313,417.06/627.50
  6. Step 6: Final answer
    x = 499.47

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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.