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Finding the Fourth Proportional to 662.31, 913.96 and 367.58

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Solution

The fourth proportional to 662.31, 913.96 and 367.58 is: 507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.31 : 913.96 = 367.58 : x
  2. Step 2: Convert to fraction form
    662.31/913.96 = 367.58/x
  3. Step 3: Cross multiply
    662.31x = 913.96 × 367.58
  4. Step 4: Simplify right side
    662.31x = 335,947.93
  5. Step 5: Solve for x
    x = 335,947.93/662.31
  6. Step 6: Final answer
    x = 507.24

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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.