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Finding the Fourth Proportional to 435.88, 601.64 and 249.46

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Solution

The fourth proportional to 435.88, 601.64 and 249.46 is: 344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.88 : 601.64 = 249.46 : x
  2. Step 2: Convert to fraction form
    435.88/601.64 = 249.46/x
  3. Step 3: Cross multiply
    435.88x = 601.64 × 249.46
  4. Step 4: Simplify right side
    435.88x = 150,085.11
  5. Step 5: Solve for x
    x = 150,085.11/435.88
  6. Step 6: Final answer
    x = 344.33

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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.