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Finding the Fourth Proportional to 597.99, 825.45 and 401.61

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Solution

The fourth proportional to 597.99, 825.45 and 401.61 is: 554.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.99 : 825.45 = 401.61 : x
  2. Step 2: Convert to fraction form
    597.99/825.45 = 401.61/x
  3. Step 3: Cross multiply
    597.99x = 825.45 × 401.61
  4. Step 4: Simplify right side
    597.99x = 331,508.97
  5. Step 5: Solve for x
    x = 331,508.97/597.99
  6. Step 6: Final answer
    x = 554.37

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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.