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Finding the Fourth Proportional to 378.66, 568.16 and 342.44

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Solution

The fourth proportional to 378.66, 568.16 and 342.44 is: 513.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.66 : 568.16 = 342.44 : x
  2. Step 2: Convert to fraction form
    378.66/568.16 = 342.44/x
  3. Step 3: Cross multiply
    378.66x = 568.16 × 342.44
  4. Step 4: Simplify right side
    378.66x = 194,558.73
  5. Step 5: Solve for x
    x = 194,558.73/378.66
  6. Step 6: Final answer
    x = 513.81

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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.