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Finding the Fourth Proportional to 598.18, 825.26 and 441.19

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Solution

The fourth proportional to 598.18, 825.26 and 441.19 is: 608.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.18 : 825.26 = 441.19 : x
  2. Step 2: Convert to fraction form
    598.18/825.26 = 441.19/x
  3. Step 3: Cross multiply
    598.18x = 825.26 × 441.19
  4. Step 4: Simplify right side
    598.18x = 364,090.13
  5. Step 5: Solve for x
    x = 364,090.13/598.18
  6. Step 6: Final answer
    x = 608.66

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Why These Related Problems?

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