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Finding the Fourth Proportional to 450.43, 676.05 and 385.63

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Solution

The fourth proportional to 450.43, 676.05 and 385.63 is: 578.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.43 : 676.05 = 385.63 : x
  2. Step 2: Convert to fraction form
    450.43/676.05 = 385.63/x
  3. Step 3: Cross multiply
    450.43x = 676.05 × 385.63
  4. Step 4: Simplify right side
    450.43x = 260,705.16
  5. Step 5: Solve for x
    x = 260,705.16/450.43
  6. Step 6: Final answer
    x = 578.79

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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.