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Finding the Fourth Proportional to 307.26, 462.44 and 230.63

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Solution

The fourth proportional to 307.26, 462.44 and 230.63 is: 347.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.26 : 462.44 = 230.63 : x
  2. Step 2: Convert to fraction form
    307.26/462.44 = 230.63/x
  3. Step 3: Cross multiply
    307.26x = 462.44 × 230.63
  4. Step 4: Simplify right side
    307.26x = 106,649.07
  5. Step 5: Solve for x
    x = 106,649.07/307.26
  6. Step 6: Final answer
    x = 347.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.