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Finding the Fourth Proportional to 768.24, 1,151.96 and 306

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Solution

The fourth proportional to 768.24, 1,151.96 and 306 is: 458.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.24 : 1,151.96 = 306 : x
  2. Step 2: Convert to fraction form
    768.24/1,151.96 = 306/x
  3. Step 3: Cross multiply
    768.24x = 1,151.96 × 306
  4. Step 4: Simplify right side
    768.24x = 352,498.23
  5. Step 5: Solve for x
    x = 352,498.23/768.24
  6. Step 6: Final answer
    x = 458.84

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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.