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Finding the Fourth Proportional to 597.83, 825.08 and 376.83

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Solution

The fourth proportional to 597.83, 825.08 and 376.83 is: 520.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.83 : 825.08 = 376.83 : x
  2. Step 2: Convert to fraction form
    597.83/825.08 = 376.83/x
  3. Step 3: Cross multiply
    597.83x = 825.08 × 376.83
  4. Step 4: Simplify right side
    597.83x = 310,913.01
  5. Step 5: Solve for x
    x = 310,913.01/597.83
  6. Step 6: Final answer
    x = 520.07

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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.