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Finding the Fourth Proportional to 598.07, 825.11 and 441.08

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Solution

The fourth proportional to 598.07, 825.11 and 441.08 is: 608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.07 : 825.11 = 441.08 : x
  2. Step 2: Convert to fraction form
    598.07/825.11 = 441.08/x
  3. Step 3: Cross multiply
    598.07x = 825.11 × 441.08
  4. Step 4: Simplify right side
    598.07x = 363,935.39
  5. Step 5: Solve for x
    x = 363,935.39/598.07
  6. Step 6: Final answer
    x = 608.52

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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.