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Finding the Fourth Proportional to 452.89, 677.62 and 277.24

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Solution

The fourth proportional to 452.89, 677.62 and 277.24 is: 414.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.89 : 677.62 = 277.24 : x
  2. Step 2: Convert to fraction form
    452.89/677.62 = 277.24/x
  3. Step 3: Cross multiply
    452.89x = 677.62 × 277.24
  4. Step 4: Simplify right side
    452.89x = 187,863.37
  5. Step 5: Solve for x
    x = 187,863.37/452.89
  6. Step 6: Final answer
    x = 414.81

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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.