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Finding the Fourth Proportional to 307.71, 461.28 and 205.02

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Solution

The fourth proportional to 307.71, 461.28 and 205.02 is: 307.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.71 : 461.28 = 205.02 : x
  2. Step 2: Convert to fraction form
    307.71/461.28 = 205.02/x
  3. Step 3: Cross multiply
    307.71x = 461.28 × 205.02
  4. Step 4: Simplify right side
    307.71x = 94,571.63
  5. Step 5: Solve for x
    x = 94,571.63/307.71
  6. Step 6: Final answer
    x = 307.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.