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Finding the Fourth Proportional to 627.62, 866.16 and 362.06

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Solution

The fourth proportional to 627.62, 866.16 and 362.06 is: 499.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    627.62 : 866.16 = 362.06 : x
  2. Step 2: Convert to fraction form
    627.62/866.16 = 362.06/x
  3. Step 3: Cross multiply
    627.62x = 866.16 × 362.06
  4. Step 4: Simplify right side
    627.62x = 313,600.81
  5. Step 5: Solve for x
    x = 313,600.81/627.62
  6. Step 6: Final answer
    x = 499.67

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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.