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Finding the Fourth Proportional to 435.67, 596.87 and 419.26

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Solution

The fourth proportional to 435.67, 596.87 and 419.26 is: 574.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.67 : 596.87 = 419.26 : x
  2. Step 2: Convert to fraction form
    435.67/596.87 = 419.26/x
  3. Step 3: Cross multiply
    435.67x = 596.87 × 419.26
  4. Step 4: Simplify right side
    435.67x = 250,243.72
  5. Step 5: Solve for x
    x = 250,243.72/435.67
  6. Step 6: Final answer
    x = 574.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.