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Finding the Fourth Proportional to 552.08, 761.34 and 412.54

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Solution

The fourth proportional to 552.08, 761.34 and 412.54 is: 568.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.08 : 761.34 = 412.54 : x
  2. Step 2: Convert to fraction form
    552.08/761.34 = 412.54/x
  3. Step 3: Cross multiply
    552.08x = 761.34 × 412.54
  4. Step 4: Simplify right side
    552.08x = 314,083.20
  5. Step 5: Solve for x
    x = 314,083.20/552.08
  6. Step 6: Final answer
    x = 568.91

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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.