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Finding the Fourth Proportional to 552.11, 762.15 and 365.69

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Solution

The fourth proportional to 552.11, 762.15 and 365.69 is: 504.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.11 : 762.15 = 365.69 : x
  2. Step 2: Convert to fraction form
    552.11/762.15 = 365.69/x
  3. Step 3: Cross multiply
    552.11x = 762.15 × 365.69
  4. Step 4: Simplify right side
    552.11x = 278,710.63
  5. Step 5: Solve for x
    x = 278,710.63/552.11
  6. Step 6: Final answer
    x = 504.81

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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.