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Finding the Fourth Proportional to 483.62, 728.27 and 347.63

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Solution

The fourth proportional to 483.62, 728.27 and 347.63 is: 523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.62 : 728.27 = 347.63 : x
  2. Step 2: Convert to fraction form
    483.62/728.27 = 347.63/x
  3. Step 3: Cross multiply
    483.62x = 728.27 × 347.63
  4. Step 4: Simplify right side
    483.62x = 253,163.12
  5. Step 5: Solve for x
    x = 253,163.12/483.62
  6. Step 6: Final answer
    x = 523.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.