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Finding the Fourth Proportional to 363.24, 543.80 and 272.31

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Solution

The fourth proportional to 363.24, 543.80 and 272.31 is: 407.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.24 : 543.80 = 272.31 : x
  2. Step 2: Convert to fraction form
    363.24/543.80 = 272.31/x
  3. Step 3: Cross multiply
    363.24x = 543.80 × 272.31
  4. Step 4: Simplify right side
    363.24x = 148,080.82
  5. Step 5: Solve for x
    x = 148,080.82/363.24
  6. Step 6: Final answer
    x = 407.67

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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.