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Finding the Fourth Proportional to 506.30, 699.02 and 338.48

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Solution

The fourth proportional to 506.30, 699.02 and 338.48 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.30 : 699.02 = 338.48 : x
  2. Step 2: Convert to fraction form
    506.30/699.02 = 338.48/x
  3. Step 3: Cross multiply
    506.30x = 699.02 × 338.48
  4. Step 4: Simplify right side
    506.30x = 236,604.29
  5. Step 5: Solve for x
    x = 236,604.29/506.30
  6. Step 6: Final answer
    x = 467.32

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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.