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Finding the Fourth Proportional to 506.96, 699.60 and 274.08

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Solution

The fourth proportional to 506.96, 699.60 and 274.08 is: 378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.96 : 699.60 = 274.08 : x
  2. Step 2: Convert to fraction form
    506.96/699.60 = 274.08/x
  3. Step 3: Cross multiply
    506.96x = 699.60 × 274.08
  4. Step 4: Simplify right side
    506.96x = 191,745.34
  5. Step 5: Solve for x
    x = 191,745.34/506.96
  6. Step 6: Final answer
    x = 378.23

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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.