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Finding the Fourth Proportional to 599.81, 827.97 and 468.86

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Solution

The fourth proportional to 599.81, 827.97 and 468.86 is: 647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.81 : 827.97 = 468.86 : x
  2. Step 2: Convert to fraction form
    599.81/827.97 = 468.86/x
  3. Step 3: Cross multiply
    599.81x = 827.97 × 468.86
  4. Step 4: Simplify right side
    599.81x = 388,202.01
  5. Step 5: Solve for x
    x = 388,202.01/599.81
  6. Step 6: Final answer
    x = 647.21

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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.