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Finding the Fourth Proportional to 484.15, 729.82 and 403.54

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Solution

The fourth proportional to 484.15, 729.82 and 403.54 is: 608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.15 : 729.82 = 403.54 : x
  2. Step 2: Convert to fraction form
    484.15/729.82 = 403.54/x
  3. Step 3: Cross multiply
    484.15x = 729.82 × 403.54
  4. Step 4: Simplify right side
    484.15x = 294,511.56
  5. Step 5: Solve for x
    x = 294,511.56/484.15
  6. Step 6: Final answer
    x = 608.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.