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Finding the Fourth Proportional to 662.32, 914.02 and 367.60

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Solution

The fourth proportional to 662.32, 914.02 and 367.60 is: 507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.32 : 914.02 = 367.60 : x
  2. Step 2: Convert to fraction form
    662.32/914.02 = 367.60/x
  3. Step 3: Cross multiply
    662.32x = 914.02 × 367.60
  4. Step 4: Simplify right side
    662.32x = 335,993.75
  5. Step 5: Solve for x
    x = 335,993.75/662.32
  6. Step 6: Final answer
    x = 507.30

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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.