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Finding the Fourth Proportional to 308.35, 424.27 and 266.77

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Solution

The fourth proportional to 308.35, 424.27 and 266.77 is: 367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.35 : 424.27 = 266.77 : x
  2. Step 2: Convert to fraction form
    308.35/424.27 = 266.77/x
  3. Step 3: Cross multiply
    308.35x = 424.27 × 266.77
  4. Step 4: Simplify right side
    308.35x = 113,182.51
  5. Step 5: Solve for x
    x = 113,182.51/308.35
  6. Step 6: Final answer
    x = 367.06

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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.