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Finding the Fourth Proportional to 597.89, 825.23 and 377.14

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Solution

The fourth proportional to 597.89, 825.23 and 377.14 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.89 : 825.23 = 377.14 : x
  2. Step 2: Convert to fraction form
    597.89/825.23 = 377.14/x
  3. Step 3: Cross multiply
    597.89x = 825.23 × 377.14
  4. Step 4: Simplify right side
    597.89x = 311,227.24
  5. Step 5: Solve for x
    x = 311,227.24/597.89
  6. Step 6: Final answer
    x = 520.54

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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.