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Finding the Fourth Proportional to 552.19, 761.92 and 353.20

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Solution

The fourth proportional to 552.19, 761.92 and 353.20 is: 487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.19 : 761.92 = 353.20 : x
  2. Step 2: Convert to fraction form
    552.19/761.92 = 353.20/x
  3. Step 3: Cross multiply
    552.19x = 761.92 × 353.20
  4. Step 4: Simplify right side
    552.19x = 269,110.14
  5. Step 5: Solve for x
    x = 269,110.14/552.19
  6. Step 6: Final answer
    x = 487.35

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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.