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Finding the Fourth Proportional to 366.82, 506.01 and 256.10

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Solution

The fourth proportional to 366.82, 506.01 and 256.10 is: 353.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.82 : 506.01 = 256.10 : x
  2. Step 2: Convert to fraction form
    366.82/506.01 = 256.10/x
  3. Step 3: Cross multiply
    366.82x = 506.01 × 256.10
  4. Step 4: Simplify right side
    366.82x = 129,589.16
  5. Step 5: Solve for x
    x = 129,589.16/366.82
  6. Step 6: Final answer
    x = 353.28

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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.