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Finding the Fourth Proportional to 361.26, 497.75 and 278.18

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Solution

The fourth proportional to 361.26, 497.75 and 278.18 is: 383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.26 : 497.75 = 278.18 : x
  2. Step 2: Convert to fraction form
    361.26/497.75 = 278.18/x
  3. Step 3: Cross multiply
    361.26x = 497.75 × 278.18
  4. Step 4: Simplify right side
    361.26x = 138,464.88
  5. Step 5: Solve for x
    x = 138,464.88/361.26
  6. Step 6: Final answer
    x = 383.28

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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.