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Finding the Fourth Proportional to 365.56, 546.24 and 249.04

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Solution

The fourth proportional to 365.56, 546.24 and 249.04 is: 372.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.56 : 546.24 = 249.04 : x
  2. Step 2: Convert to fraction form
    365.56/546.24 = 249.04/x
  3. Step 3: Cross multiply
    365.56x = 546.24 × 249.04
  4. Step 4: Simplify right side
    365.56x = 136,037.23
  5. Step 5: Solve for x
    x = 136,037.23/365.56
  6. Step 6: Final answer
    x = 372.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.