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Finding the Fourth Proportional to 363.32, 543.76 and 275.23

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Solution

The fourth proportional to 363.32, 543.76 and 275.23 is: 411.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.32 : 543.76 = 275.23 : x
  2. Step 2: Convert to fraction form
    363.32/543.76 = 275.23/x
  3. Step 3: Cross multiply
    363.32x = 543.76 × 275.23
  4. Step 4: Simplify right side
    363.32x = 149,659.06
  5. Step 5: Solve for x
    x = 149,659.06/363.32
  6. Step 6: Final answer
    x = 411.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.