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Finding the Fourth Proportional to 365.42, 504.42 and 249.14

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Solution

The fourth proportional to 365.42, 504.42 and 249.14 is: 343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.42 : 504.42 = 249.14 : x
  2. Step 2: Convert to fraction form
    365.42/504.42 = 249.14/x
  3. Step 3: Cross multiply
    365.42x = 504.42 × 249.14
  4. Step 4: Simplify right side
    365.42x = 125,671.20
  5. Step 5: Solve for x
    x = 125,671.20/365.42
  6. Step 6: Final answer
    x = 343.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.