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Finding the Fourth Proportional to 597.97, 825.15 and 377.02

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Solution

The fourth proportional to 597.97, 825.15 and 377.02 is: 520.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.97 : 825.15 = 377.02 : x
  2. Step 2: Convert to fraction form
    597.97/825.15 = 377.02/x
  3. Step 3: Cross multiply
    597.97x = 825.15 × 377.02
  4. Step 4: Simplify right side
    597.97x = 311,098.05
  5. Step 5: Solve for x
    x = 311,098.05/597.97
  6. Step 6: Final answer
    x = 520.26

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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.