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Finding the Fourth Proportional to 452.77, 676.27 and 409.37

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Solution

The fourth proportional to 452.77, 676.27 and 409.37 is: 611.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.77 : 676.27 = 409.37 : x
  2. Step 2: Convert to fraction form
    452.77/676.27 = 409.37/x
  3. Step 3: Cross multiply
    452.77x = 676.27 × 409.37
  4. Step 4: Simplify right side
    452.77x = 276,841.78
  5. Step 5: Solve for x
    x = 276,841.78/452.77
  6. Step 6: Final answer
    x = 611.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.