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Finding the Fourth Proportional to 552.27, 761.26 and 412.16

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Solution

The fourth proportional to 552.27, 761.26 and 412.16 is: 568.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.27 : 761.26 = 412.16 : x
  2. Step 2: Convert to fraction form
    552.27/761.26 = 412.16/x
  3. Step 3: Cross multiply
    552.27x = 761.26 × 412.16
  4. Step 4: Simplify right side
    552.27x = 313,760.92
  5. Step 5: Solve for x
    x = 313,760.92/552.27
  6. Step 6: Final answer
    x = 568.13

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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.