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Finding the Fourth Proportional to 363.72, 502 and 257.54

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Solution

The fourth proportional to 363.72, 502 and 257.54 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.72 : 502 = 257.54 : x
  2. Step 2: Convert to fraction form
    363.72/502 = 257.54/x
  3. Step 3: Cross multiply
    363.72x = 502 × 257.54
  4. Step 4: Simplify right side
    363.72x = 129,285.08
  5. Step 5: Solve for x
    x = 129,285.08/363.72
  6. Step 6: Final answer
    x = 355.45

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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.