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Finding the Fourth Proportional to 599.13, 827 and 421.94

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Solution

The fourth proportional to 599.13, 827 and 421.94 is: 582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.13 : 827 = 421.94 : x
  2. Step 2: Convert to fraction form
    599.13/827 = 421.94/x
  3. Step 3: Cross multiply
    599.13x = 827 × 421.94
  4. Step 4: Simplify right side
    599.13x = 348,944.38
  5. Step 5: Solve for x
    x = 348,944.38/599.13
  6. Step 6: Final answer
    x = 582.42

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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.