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Finding the Fourth Proportional to 768.50, 1,152.78 and 306.50

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Solution

The fourth proportional to 768.50, 1,152.78 and 306.50 is: 459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.50 : 1,152.78 = 306.50 : x
  2. Step 2: Convert to fraction form
    768.50/1,152.78 = 306.50/x
  3. Step 3: Cross multiply
    768.50x = 1,152.78 × 306.50
  4. Step 4: Simplify right side
    768.50x = 353,327.07
  5. Step 5: Solve for x
    x = 353,327.07/768.50
  6. Step 6: Final answer
    x = 459.76

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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.