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Finding the Fourth Proportional to 599.57, 827.35 and 442.28

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Solution

The fourth proportional to 599.57, 827.35 and 442.28 is: 610.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    599.57 : 827.35 = 442.28 : x
  2. Step 2: Convert to fraction form
    599.57/827.35 = 442.28/x
  3. Step 3: Cross multiply
    599.57x = 827.35 × 442.28
  4. Step 4: Simplify right side
    599.57x = 365,921.32
  5. Step 5: Solve for x
    x = 365,921.32/599.57
  6. Step 6: Final answer
    x = 610.31

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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.