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Finding the Fourth Proportional to 768.30, 1,153.05 and 306.12

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Solution

The fourth proportional to 768.30, 1,153.05 and 306.12 is: 459.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.30 : 1,153.05 = 306.12 : x
  2. Step 2: Convert to fraction form
    768.30/1,153.05 = 306.12/x
  3. Step 3: Cross multiply
    768.30x = 1,153.05 × 306.12
  4. Step 4: Simplify right side
    768.30x = 352,974.84
  5. Step 5: Solve for x
    x = 352,974.84/768.30
  6. Step 6: Final answer
    x = 459.43

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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.