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Finding the Fourth Proportional to 308.53, 426.87 and 261.76

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Solution

The fourth proportional to 308.53, 426.87 and 261.76 is: 362.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.53 : 426.87 = 261.76 : x
  2. Step 2: Convert to fraction form
    308.53/426.87 = 261.76/x
  3. Step 3: Cross multiply
    308.53x = 426.87 × 261.76
  4. Step 4: Simplify right side
    308.53x = 111,737.49
  5. Step 5: Solve for x
    x = 111,737.49/308.53
  6. Step 6: Final answer
    x = 362.16

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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.