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Finding the Fourth Proportional to 307.26, 424.26 and 232.74

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Solution

The fourth proportional to 307.26, 424.26 and 232.74 is: 321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.26 : 424.26 = 232.74 : x
  2. Step 2: Convert to fraction form
    307.26/424.26 = 232.74/x
  3. Step 3: Cross multiply
    307.26x = 424.26 × 232.74
  4. Step 4: Simplify right side
    307.26x = 98,742.27
  5. Step 5: Solve for x
    x = 98,742.27/307.26
  6. Step 6: Final answer
    x = 321.36

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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.