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Finding the Fourth Proportional to 378.50, 568.04 and 263.74

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Solution

The fourth proportional to 378.50, 568.04 and 263.74 is: 395.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    378.50 : 568.04 = 263.74 : x
  2. Step 2: Convert to fraction form
    378.50/568.04 = 263.74/x
  3. Step 3: Cross multiply
    378.50x = 568.04 × 263.74
  4. Step 4: Simplify right side
    378.50x = 149,814.87
  5. Step 5: Solve for x
    x = 149,814.87/378.50
  6. Step 6: Final answer
    x = 395.81

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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.