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Finding the Fourth Proportional to 366.82, 506.73 and 256.26

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Solution

The fourth proportional to 366.82, 506.73 and 256.26 is: 354.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    366.82 : 506.73 = 256.26 : x
  2. Step 2: Convert to fraction form
    366.82/506.73 = 256.26/x
  3. Step 3: Cross multiply
    366.82x = 506.73 × 256.26
  4. Step 4: Simplify right side
    366.82x = 129,854.63
  5. Step 5: Solve for x
    x = 129,854.63/366.82
  6. Step 6: Final answer
    x = 354.00

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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.