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Finding the Fourth Proportional to 552.47, 762.44 and 365.63

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Solution

The fourth proportional to 552.47, 762.44 and 365.63 is: 504.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.47 : 762.44 = 365.63 : x
  2. Step 2: Convert to fraction form
    552.47/762.44 = 365.63/x
  3. Step 3: Cross multiply
    552.47x = 762.44 × 365.63
  4. Step 4: Simplify right side
    552.47x = 278,770.94
  5. Step 5: Solve for x
    x = 278,770.94/552.47
  6. Step 6: Final answer
    x = 504.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.