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Finding the Fourth Proportional to 361.48, 497.44 and 278.24

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Solution

The fourth proportional to 361.48, 497.44 and 278.24 is: 382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.48 : 497.44 = 278.24 : x
  2. Step 2: Convert to fraction form
    361.48/497.44 = 278.24/x
  3. Step 3: Cross multiply
    361.48x = 497.44 × 278.24
  4. Step 4: Simplify right side
    361.48x = 138,407.71
  5. Step 5: Solve for x
    x = 138,407.71/361.48
  6. Step 6: Final answer
    x = 382.89

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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.