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Finding the Fourth Proportional to 450.36, 676.26 and 429.03

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Solution

The fourth proportional to 450.36, 676.26 and 429.03 is: 644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.36 : 676.26 = 429.03 : x
  2. Step 2: Convert to fraction form
    450.36/676.26 = 429.03/x
  3. Step 3: Cross multiply
    450.36x = 676.26 × 429.03
  4. Step 4: Simplify right side
    450.36x = 290,135.83
  5. Step 5: Solve for x
    x = 290,135.83/450.36
  6. Step 6: Final answer
    x = 644.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.