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Finding the Fourth Proportional to 361.26, 541.62 and 258.12

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Solution

The fourth proportional to 361.26, 541.62 and 258.12 is: 386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.26 : 541.62 = 258.12 : x
  2. Step 2: Convert to fraction form
    361.26/541.62 = 258.12/x
  3. Step 3: Cross multiply
    361.26x = 541.62 × 258.12
  4. Step 4: Simplify right side
    361.26x = 139,802.95
  5. Step 5: Solve for x
    x = 139,802.95/361.26
  6. Step 6: Final answer
    x = 386.99

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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.