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Finding the Fourth Proportional to 506.70, 699.44 and 366.86

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Solution

The fourth proportional to 506.70, 699.44 and 366.86 is: 506.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.70 : 699.44 = 366.86 : x
  2. Step 2: Convert to fraction form
    506.70/699.44 = 366.86/x
  3. Step 3: Cross multiply
    506.70x = 699.44 × 366.86
  4. Step 4: Simplify right side
    506.70x = 256,596.47
  5. Step 5: Solve for x
    x = 256,596.47/506.70
  6. Step 6: Final answer
    x = 506.41

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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.