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Finding the Fourth Proportional to 380.23, 524.68 and 249.01

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Solution

The fourth proportional to 380.23, 524.68 and 249.01 is: 343.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.23 : 524.68 = 249.01 : x
  2. Step 2: Convert to fraction form
    380.23/524.68 = 249.01/x
  3. Step 3: Cross multiply
    380.23x = 524.68 × 249.01
  4. Step 4: Simplify right side
    380.23x = 130,650.57
  5. Step 5: Solve for x
    x = 130,650.57/380.23
  6. Step 6: Final answer
    x = 343.61

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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.