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Finding the Fourth Proportional to 450.48, 676.49 and 278.17

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Solution

The fourth proportional to 450.48, 676.49 and 278.17 is: 417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.48 : 676.49 = 278.17 : x
  2. Step 2: Convert to fraction form
    450.48/676.49 = 278.17/x
  3. Step 3: Cross multiply
    450.48x = 676.49 × 278.17
  4. Step 4: Simplify right side
    450.48x = 188,178.49
  5. Step 5: Solve for x
    x = 188,178.49/450.48
  6. Step 6: Final answer
    x = 417.73

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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.