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Finding the Fourth Proportional to 768.63, 1,152.68 and 306.39

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Solution

The fourth proportional to 768.63, 1,152.68 and 306.39 is: 459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.63 : 1,152.68 = 306.39 : x
  2. Step 2: Convert to fraction form
    768.63/1,152.68 = 306.39/x
  3. Step 3: Cross multiply
    768.63x = 1,152.68 × 306.39
  4. Step 4: Simplify right side
    768.63x = 353,168.09
  5. Step 5: Solve for x
    x = 353,168.09/768.63
  6. Step 6: Final answer
    x = 459.48

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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.