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Finding the Fourth Proportional to 599.05, 822.27 and 532.09

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Solution

The fourth proportional to 599.05, 822.27 and 532.09 is: 730.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.05 : 822.27 = 532.09 : x
  2. Step 2: Convert to fraction form
    599.05/822.27 = 532.09/x
  3. Step 3: Cross multiply
    599.05x = 822.27 × 532.09
  4. Step 4: Simplify right side
    599.05x = 437,520.10
  5. Step 5: Solve for x
    x = 437,520.10/599.05
  6. Step 6: Final answer
    x = 730.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.