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Finding the Fourth Proportional to 380.26, 524.73 and 249.04

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Solution

The fourth proportional to 380.26, 524.73 and 249.04 is: 343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.26 : 524.73 = 249.04 : x
  2. Step 2: Convert to fraction form
    380.26/524.73 = 249.04/x
  3. Step 3: Cross multiply
    380.26x = 524.73 × 249.04
  4. Step 4: Simplify right side
    380.26x = 130,678.76
  5. Step 5: Solve for x
    x = 130,678.76/380.26
  6. Step 6: Final answer
    x = 343.66

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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.