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Finding the Fourth Proportional to 307.25, 424.37 and 208.84

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Solution

The fourth proportional to 307.25, 424.37 and 208.84 is: 288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.25 : 424.37 = 208.84 : x
  2. Step 2: Convert to fraction form
    307.25/424.37 = 208.84/x
  3. Step 3: Cross multiply
    307.25x = 424.37 × 208.84
  4. Step 4: Simplify right side
    307.25x = 88,625.43
  5. Step 5: Solve for x
    x = 88,625.43/307.25
  6. Step 6: Final answer
    x = 288.45

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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.