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Finding the Fourth Proportional to 597.74, 825.01 and 376.55

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Solution

The fourth proportional to 597.74, 825.01 and 376.55 is: 519.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.74 : 825.01 = 376.55 : x
  2. Step 2: Convert to fraction form
    597.74/825.01 = 376.55/x
  3. Step 3: Cross multiply
    597.74x = 825.01 × 376.55
  4. Step 4: Simplify right side
    597.74x = 310,652.45
  5. Step 5: Solve for x
    x = 310,652.45/597.74
  6. Step 6: Final answer
    x = 519.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.