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Finding the Fourth Proportional to 768.33, 1,152.87 and 335.43

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Solution

The fourth proportional to 768.33, 1,152.87 and 335.43 is: 503.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.33 : 1,152.87 = 335.43 : x
  2. Step 2: Convert to fraction form
    768.33/1,152.87 = 335.43/x
  3. Step 3: Cross multiply
    768.33x = 1,152.87 × 335.43
  4. Step 4: Simplify right side
    768.33x = 386,707.18
  5. Step 5: Solve for x
    x = 386,707.18/768.33
  6. Step 6: Final answer
    x = 503.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.