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Finding the Fourth Proportional to 363.26, 501.48 and 284.40

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Solution

The fourth proportional to 363.26, 501.48 and 284.40 is: 392.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.26 : 501.48 = 284.40 : x
  2. Step 2: Convert to fraction form
    363.26/501.48 = 284.40/x
  3. Step 3: Cross multiply
    363.26x = 501.48 × 284.40
  4. Step 4: Simplify right side
    363.26x = 142,620.91
  5. Step 5: Solve for x
    x = 142,620.91/363.26
  6. Step 6: Final answer
    x = 392.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.