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Finding the Fourth Proportional to 627.84, 866.43 and 365.81

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Solution

The fourth proportional to 627.84, 866.43 and 365.81 is: 504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.84 : 866.43 = 365.81 : x
  2. Step 2: Convert to fraction form
    627.84/866.43 = 365.81/x
  3. Step 3: Cross multiply
    627.84x = 866.43 × 365.81
  4. Step 4: Simplify right side
    627.84x = 316,944.43
  5. Step 5: Solve for x
    x = 316,944.43/627.84
  6. Step 6: Final answer
    x = 504.82

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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.