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Finding the Fourth Proportional to 308.59, 424.83 and 266.89

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Solution

The fourth proportional to 308.59, 424.83 and 266.89 is: 367.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.59 : 424.83 = 266.89 : x
  2. Step 2: Convert to fraction form
    308.59/424.83 = 266.89/x
  3. Step 3: Cross multiply
    308.59x = 424.83 × 266.89
  4. Step 4: Simplify right side
    308.59x = 113,382.88
  5. Step 5: Solve for x
    x = 113,382.88/308.59
  6. Step 6: Final answer
    x = 367.42

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Why These Related Problems?

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