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Finding the Fourth Proportional to 768.29, 1,152.02 and 357.82

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Solution

The fourth proportional to 768.29, 1,152.02 and 357.82 is: 536.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.29 : 1,152.02 = 357.82 : x
  2. Step 2: Convert to fraction form
    768.29/1,152.02 = 357.82/x
  3. Step 3: Cross multiply
    768.29x = 1,152.02 × 357.82
  4. Step 4: Simplify right side
    768.29x = 412,213.81
  5. Step 5: Solve for x
    x = 412,213.81/768.29
  6. Step 6: Final answer
    x = 536.54

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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.