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Finding the Fourth Proportional to 452.27, 676.41 and 278.51

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Solution

The fourth proportional to 452.27, 676.41 and 278.51 is: 416.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.27 : 676.41 = 278.51 : x
  2. Step 2: Convert to fraction form
    452.27/676.41 = 278.51/x
  3. Step 3: Cross multiply
    452.27x = 676.41 × 278.51
  4. Step 4: Simplify right side
    452.27x = 188,386.95
  5. Step 5: Solve for x
    x = 188,386.95/452.27
  6. Step 6: Final answer
    x = 416.54

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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.