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Finding the Fourth Proportional to 307.77, 460.49 and 205.31

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Solution

The fourth proportional to 307.77, 460.49 and 205.31 is: 307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.77 : 460.49 = 205.31 : x
  2. Step 2: Convert to fraction form
    307.77/460.49 = 205.31/x
  3. Step 3: Cross multiply
    307.77x = 460.49 × 205.31
  4. Step 4: Simplify right side
    307.77x = 94,539.87
  5. Step 5: Solve for x
    x = 94,539.87/307.77
  6. Step 6: Final answer
    x = 307.18

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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.