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Finding the Fourth Proportional to 450.84, 676.42 and 207.54

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Solution

The fourth proportional to 450.84, 676.42 and 207.54 is: 311.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.84 : 676.42 = 207.54 : x
  2. Step 2: Convert to fraction form
    450.84/676.42 = 207.54/x
  3. Step 3: Cross multiply
    450.84x = 676.42 × 207.54
  4. Step 4: Simplify right side
    450.84x = 140,384.21
  5. Step 5: Solve for x
    x = 140,384.21/450.84
  6. Step 6: Final answer
    x = 311.38

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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.