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Finding the Fourth Proportional to 365.88, 547.74 and 304.47

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Solution

The fourth proportional to 365.88, 547.74 and 304.47 is: 455.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.88 : 547.74 = 304.47 : x
  2. Step 2: Convert to fraction form
    365.88/547.74 = 304.47/x
  3. Step 3: Cross multiply
    365.88x = 547.74 × 304.47
  4. Step 4: Simplify right side
    365.88x = 166,770.40
  5. Step 5: Solve for x
    x = 166,770.40/365.88
  6. Step 6: Final answer
    x = 455.81

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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.