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Finding the Fourth Proportional to 662.24, 993.60 and 337.64

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Solution

The fourth proportional to 662.24, 993.60 and 337.64 is: 506.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.24 : 993.60 = 337.64 : x
  2. Step 2: Convert to fraction form
    662.24/993.60 = 337.64/x
  3. Step 3: Cross multiply
    662.24x = 993.60 × 337.64
  4. Step 4: Simplify right side
    662.24x = 335,479.10
  5. Step 5: Solve for x
    x = 335,479.10/662.24
  6. Step 6: Final answer
    x = 506.58

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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.