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Finding the Fourth Proportional to 627.76, 866.19 and 365.86

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Solution

The fourth proportional to 627.76, 866.19 and 365.86 is: 504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.76 : 866.19 = 365.86 : x
  2. Step 2: Convert to fraction form
    627.76/866.19 = 365.86/x
  3. Step 3: Cross multiply
    627.76x = 866.19 × 365.86
  4. Step 4: Simplify right side
    627.76x = 316,904.27
  5. Step 5: Solve for x
    x = 316,904.27/627.76
  6. Step 6: Final answer
    x = 504.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.