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Finding the Fourth Proportional to 598.65, 825.90 and 441.66

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Solution

The fourth proportional to 598.65, 825.90 and 441.66 is: 609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.65 : 825.90 = 441.66 : x
  2. Step 2: Convert to fraction form
    598.65/825.90 = 441.66/x
  3. Step 3: Cross multiply
    598.65x = 825.90 × 441.66
  4. Step 4: Simplify right side
    598.65x = 364,760.66
  5. Step 5: Solve for x
    x = 364,760.66/598.65
  6. Step 6: Final answer
    x = 609.31

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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.