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Finding the Fourth Proportional to 506.49, 699.03 and 388.26

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Solution

The fourth proportional to 506.49, 699.03 and 388.26 is: 535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.49 : 699.03 = 388.26 : x
  2. Step 2: Convert to fraction form
    506.49/699.03 = 388.26/x
  3. Step 3: Cross multiply
    506.49x = 699.03 × 388.26
  4. Step 4: Simplify right side
    506.49x = 271,405.39
  5. Step 5: Solve for x
    x = 271,405.39/506.49
  6. Step 6: Final answer
    x = 535.86

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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.