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Finding the Fourth Proportional to 597.22, 825.33 and 537.82

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Solution

The fourth proportional to 597.22, 825.33 and 537.82 is: 743.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.22 : 825.33 = 537.82 : x
  2. Step 2: Convert to fraction form
    597.22/825.33 = 537.82/x
  3. Step 3: Cross multiply
    597.22x = 825.33 × 537.82
  4. Step 4: Simplify right side
    597.22x = 443,878.98
  5. Step 5: Solve for x
    x = 443,878.98/597.22
  6. Step 6: Final answer
    x = 743.24

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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.