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Finding the Fourth Proportional to 552.31, 761.54 and 482.24

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Solution

The fourth proportional to 552.31, 761.54 and 482.24 is: 664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.31 : 761.54 = 482.24 : x
  2. Step 2: Convert to fraction form
    552.31/761.54 = 482.24/x
  3. Step 3: Cross multiply
    552.31x = 761.54 × 482.24
  4. Step 4: Simplify right side
    552.31x = 367,245.05
  5. Step 5: Solve for x
    x = 367,245.05/552.31
  6. Step 6: Final answer
    x = 664.93

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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.