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Finding the Fourth Proportional to 482.24, 722.41 and 452.27

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Solution

The fourth proportional to 482.24, 722.41 and 452.27 is: 677.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.24 : 722.41 = 452.27 : x
  2. Step 2: Convert to fraction form
    482.24/722.41 = 452.27/x
  3. Step 3: Cross multiply
    482.24x = 722.41 × 452.27
  4. Step 4: Simplify right side
    482.24x = 326,724.37
  5. Step 5: Solve for x
    x = 326,724.37/482.24
  6. Step 6: Final answer
    x = 677.51

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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.