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Finding the Fourth Proportional to 506.96, 699.94 and 359.74

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Solution

The fourth proportional to 506.96, 699.94 and 359.74 is: 496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 699.94 = 359.74 : x
  2. Step 2: Convert to fraction form
    506.96/699.94 = 359.74/x
  3. Step 3: Cross multiply
    506.96x = 699.94 × 359.74
  4. Step 4: Simplify right side
    506.96x = 251,796.42
  5. Step 5: Solve for x
    x = 251,796.42/506.96
  6. Step 6: Final answer
    x = 496.68

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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.