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Finding the Fourth Proportional to 669.08, 1,003.78 and 230.35

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Solution

The fourth proportional to 669.08, 1,003.78 and 230.35 is: 345.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.08 : 1,003.78 = 230.35 : x
  2. Step 2: Convert to fraction form
    669.08/1,003.78 = 230.35/x
  3. Step 3: Cross multiply
    669.08x = 1,003.78 × 230.35
  4. Step 4: Simplify right side
    669.08x = 231,220.72
  5. Step 5: Solve for x
    x = 231,220.72/669.08
  6. Step 6: Final answer
    x = 345.58

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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.