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Finding the Fourth Proportional to 599.64, 827.72 and 378.73

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Solution

The fourth proportional to 599.64, 827.72 and 378.73 is: 522.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.64 : 827.72 = 378.73 : x
  2. Step 2: Convert to fraction form
    599.64/827.72 = 378.73/x
  3. Step 3: Cross multiply
    599.64x = 827.72 × 378.73
  4. Step 4: Simplify right side
    599.64x = 313,482.40
  5. Step 5: Solve for x
    x = 313,482.40/599.64
  6. Step 6: Final answer
    x = 522.78

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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.