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Finding the Fourth Proportional to 768.02, 1,151.62 and 334.94

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Solution

The fourth proportional to 768.02, 1,151.62 and 334.94 is: 502.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.02 : 1,151.62 = 334.94 : x
  2. Step 2: Convert to fraction form
    768.02/1,151.62 = 334.94/x
  3. Step 3: Cross multiply
    768.02x = 1,151.62 × 334.94
  4. Step 4: Simplify right side
    768.02x = 385,723.60
  5. Step 5: Solve for x
    x = 385,723.60/768.02
  6. Step 6: Final answer
    x = 502.23

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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.