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Finding the Fourth Proportional to 450.24, 676.26 and 385.22

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Solution

The fourth proportional to 450.24, 676.26 and 385.22 is: 578.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.24 : 676.26 = 385.22 : x
  2. Step 2: Convert to fraction form
    450.24/676.26 = 385.22/x
  3. Step 3: Cross multiply
    450.24x = 676.26 × 385.22
  4. Step 4: Simplify right side
    450.24x = 260,505.50
  5. Step 5: Solve for x
    x = 260,505.50/450.24
  6. Step 6: Final answer
    x = 578.59

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Why These Related Problems?

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