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Finding the Fourth Proportional to 627.82, 866.50 and 365.83

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Solution

The fourth proportional to 627.82, 866.50 and 365.83 is: 504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.82 : 866.50 = 365.83 : x
  2. Step 2: Convert to fraction form
    627.82/866.50 = 365.83/x
  3. Step 3: Cross multiply
    627.82x = 866.50 × 365.83
  4. Step 4: Simplify right side
    627.82x = 316,988.61
  5. Step 5: Solve for x
    x = 316,988.61/627.82
  6. Step 6: Final answer
    x = 504.91

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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.