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Finding the Fourth Proportional to 735.14, 1,102.88 and 324.31

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Solution

The fourth proportional to 735.14, 1,102.88 and 324.31 is: 486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.14 : 1,102.88 = 324.31 : x
  2. Step 2: Convert to fraction form
    735.14/1,102.88 = 324.31/x
  3. Step 3: Cross multiply
    735.14x = 1,102.88 × 324.31
  4. Step 4: Simplify right side
    735.14x = 357,675.01
  5. Step 5: Solve for x
    x = 357,675.01/735.14
  6. Step 6: Final answer
    x = 486.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.