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Finding the Fourth Proportional to 662.76, 994.77 and 338.36

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Solution

The fourth proportional to 662.76, 994.77 and 338.36 is: 507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.76 : 994.77 = 338.36 : x
  2. Step 2: Convert to fraction form
    662.76/994.77 = 338.36/x
  3. Step 3: Cross multiply
    662.76x = 994.77 × 338.36
  4. Step 4: Simplify right side
    662.76x = 336,585.40
  5. Step 5: Solve for x
    x = 336,585.40/662.76
  6. Step 6: Final answer
    x = 507.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.