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Finding the Fourth Proportional to 627.77, 866.33 and 362.24

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Solution

The fourth proportional to 627.77, 866.33 and 362.24 is: 499.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.77 : 866.33 = 362.24 : x
  2. Step 2: Convert to fraction form
    627.77/866.33 = 362.24/x
  3. Step 3: Cross multiply
    627.77x = 866.33 × 362.24
  4. Step 4: Simplify right side
    627.77x = 313,813.24
  5. Step 5: Solve for x
    x = 313,813.24/627.77
  6. Step 6: Final answer
    x = 499.89

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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.