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Finding the Fourth Proportional to 597.44, 825.28 and 442.88

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Solution

The fourth proportional to 597.44, 825.28 and 442.88 is: 611.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.44 : 825.28 = 442.88 : x
  2. Step 2: Convert to fraction form
    597.44/825.28 = 442.88/x
  3. Step 3: Cross multiply
    597.44x = 825.28 × 442.88
  4. Step 4: Simplify right side
    597.44x = 365,500.01
  5. Step 5: Solve for x
    x = 365,500.01/597.44
  6. Step 6: Final answer
    x = 611.78

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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.