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Finding the Fourth Proportional to 365.12, 546.64 and 243.44

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Solution

The fourth proportional to 365.12, 546.64 and 243.44 is: 364.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.12 : 546.64 = 243.44 : x
  2. Step 2: Convert to fraction form
    365.12/546.64 = 243.44/x
  3. Step 3: Cross multiply
    365.12x = 546.64 × 243.44
  4. Step 4: Simplify right side
    365.12x = 133,074.04
  5. Step 5: Solve for x
    x = 133,074.04/365.12
  6. Step 6: Final answer
    x = 364.47

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Why These Related Problems?

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