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Finding the Fourth Proportional to 627.75, 866.30 and 365.94

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Solution

The fourth proportional to 627.75, 866.30 and 365.94 is: 505.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.75 : 866.30 = 365.94 : x
  2. Step 2: Convert to fraction form
    627.75/866.30 = 365.94/x
  3. Step 3: Cross multiply
    627.75x = 866.30 × 365.94
  4. Step 4: Simplify right side
    627.75x = 317,013.82
  5. Step 5: Solve for x
    x = 317,013.82/627.75
  6. Step 6: Final answer
    x = 505.00

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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.