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Finding the Fourth Proportional to 308.24, 427.21 and 302.48

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Solution

The fourth proportional to 308.24, 427.21 and 302.48 is: 419.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.24 : 427.21 = 302.48 : x
  2. Step 2: Convert to fraction form
    308.24/427.21 = 302.48/x
  3. Step 3: Cross multiply
    308.24x = 427.21 × 302.48
  4. Step 4: Simplify right side
    308.24x = 129,222.48
  5. Step 5: Solve for x
    x = 129,222.48/308.24
  6. Step 6: Final answer
    x = 419.23

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.