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Finding the Fourth Proportional to 361.07, 497.96 and 282.26

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Solution

The fourth proportional to 361.07, 497.96 and 282.26 is: 389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.07 : 497.96 = 282.26 : x
  2. Step 2: Convert to fraction form
    361.07/497.96 = 282.26/x
  3. Step 3: Cross multiply
    361.07x = 497.96 × 282.26
  4. Step 4: Simplify right side
    361.07x = 140,556.67
  5. Step 5: Solve for x
    x = 140,556.67/361.07
  6. Step 6: Final answer
    x = 389.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.