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Finding the Fourth Proportional to 307.68, 424.14 and 254.58

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Solution

The fourth proportional to 307.68, 424.14 and 254.58 is: 350.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.68 : 424.14 = 254.58 : x
  2. Step 2: Convert to fraction form
    307.68/424.14 = 254.58/x
  3. Step 3: Cross multiply
    307.68x = 424.14 × 254.58
  4. Step 4: Simplify right side
    307.68x = 107,977.56
  5. Step 5: Solve for x
    x = 107,977.56/307.68
  6. Step 6: Final answer
    x = 350.94

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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.