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Finding the Fourth Proportional to 599.40, 827.22 and 459.72

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Solution

The fourth proportional to 599.40, 827.22 and 459.72 is: 634.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.40 : 827.22 = 459.72 : x
  2. Step 2: Convert to fraction form
    599.40/827.22 = 459.72/x
  3. Step 3: Cross multiply
    599.40x = 827.22 × 459.72
  4. Step 4: Simplify right side
    599.40x = 380,289.58
  5. Step 5: Solve for x
    x = 380,289.58/599.40
  6. Step 6: Final answer
    x = 634.45

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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.