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Finding the Fourth Proportional to 450.67, 675.63 and 385.42

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Solution

The fourth proportional to 450.67, 675.63 and 385.42 is: 577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.67 : 675.63 = 385.42 : x
  2. Step 2: Convert to fraction form
    450.67/675.63 = 385.42/x
  3. Step 3: Cross multiply
    450.67x = 675.63 × 385.42
  4. Step 4: Simplify right side
    450.67x = 260,401.31
  5. Step 5: Solve for x
    x = 260,401.31/450.67
  6. Step 6: Final answer
    x = 577.81

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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.