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Finding the Fourth Proportional to 552.36, 762.04 and 412.24

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Solution

The fourth proportional to 552.36, 762.04 and 412.24 is: 568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.36 : 762.04 = 412.24 : x
  2. Step 2: Convert to fraction form
    552.36/762.04 = 412.24/x
  3. Step 3: Cross multiply
    552.36x = 762.04 × 412.24
  4. Step 4: Simplify right side
    552.36x = 314,143.37
  5. Step 5: Solve for x
    x = 314,143.37/552.36
  6. Step 6: Final answer
    x = 568.73

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