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Finding the Fourth Proportional to 599.78, 827.70 and 378.84

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Solution

The fourth proportional to 599.78, 827.70 and 378.84 is: 522.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.78 : 827.70 = 378.84 : x
  2. Step 2: Convert to fraction form
    599.78/827.70 = 378.84/x
  3. Step 3: Cross multiply
    599.78x = 827.70 × 378.84
  4. Step 4: Simplify right side
    599.78x = 313,565.87
  5. Step 5: Solve for x
    x = 313,565.87/599.78
  6. Step 6: Final answer
    x = 522.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.