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Finding the Fourth Proportional to 553.22, 763.46 and 304.54

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Solution

The fourth proportional to 553.22, 763.46 and 304.54 is: 420.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.22 : 763.46 = 304.54 : x
  2. Step 2: Convert to fraction form
    553.22/763.46 = 304.54/x
  3. Step 3: Cross multiply
    553.22x = 763.46 × 304.54
  4. Step 4: Simplify right side
    553.22x = 232,504.11
  5. Step 5: Solve for x
    x = 232,504.11/553.22
  6. Step 6: Final answer
    x = 420.27

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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.