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Finding the Fourth Proportional to 662.37, 914.00 and 367.57

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Solution

The fourth proportional to 662.37, 914.00 and 367.57 is: 507.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.37 : 914.00 = 367.57 : x
  2. Step 2: Convert to fraction form
    662.37/914.00 = 367.57/x
  3. Step 3: Cross multiply
    662.37x = 914.00 × 367.57
  4. Step 4: Simplify right side
    662.37x = 335,953.49
  5. Step 5: Solve for x
    x = 335,953.49/662.37
  6. Step 6: Final answer
    x = 507.20

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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.