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Finding the Fourth Proportional to 467.44, 701.70 and 365.56

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Solution

The fourth proportional to 467.44, 701.70 and 365.56 is: 548.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.44 : 701.70 = 365.56 : x
  2. Step 2: Convert to fraction form
    467.44/701.70 = 365.56/x
  3. Step 3: Cross multiply
    467.44x = 701.70 × 365.56
  4. Step 4: Simplify right side
    467.44x = 256,513.45
  5. Step 5: Solve for x
    x = 256,513.45/467.44
  6. Step 6: Final answer
    x = 548.76

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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.