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Finding the Fourth Proportional to 364.98, 546.56 and 249

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Solution

The fourth proportional to 364.98, 546.56 and 249 is: 372.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.98 : 546.56 = 249 : x
  2. Step 2: Convert to fraction form
    364.98/546.56 = 249/x
  3. Step 3: Cross multiply
    364.98x = 546.56 × 249
  4. Step 4: Simplify right side
    364.98x = 136,093.44
  5. Step 5: Solve for x
    x = 136,093.44/364.98
  6. Step 6: Final answer
    x = 372.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.