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Finding the Fourth Proportional to 662.52, 914.32 and 367.80

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Solution

The fourth proportional to 662.52, 914.32 and 367.80 is: 507.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.52 : 914.32 = 367.80 : x
  2. Step 2: Convert to fraction form
    662.52/914.32 = 367.80/x
  3. Step 3: Cross multiply
    662.52x = 914.32 × 367.80
  4. Step 4: Simplify right side
    662.52x = 336,286.90
  5. Step 5: Solve for x
    x = 336,286.90/662.52
  6. Step 6: Final answer
    x = 507.59

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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.