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Finding the Fourth Proportional to 768.80, 1,152.57 and 306.38

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Solution

The fourth proportional to 768.80, 1,152.57 and 306.38 is: 459.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.80 : 1,152.57 = 306.38 : x
  2. Step 2: Convert to fraction form
    768.80/1,152.57 = 306.38/x
  3. Step 3: Cross multiply
    768.80x = 1,152.57 × 306.38
  4. Step 4: Simplify right side
    768.80x = 353,124.40
  5. Step 5: Solve for x
    x = 353,124.40/768.80
  6. Step 6: Final answer
    x = 459.32

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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.