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Finding the Fourth Proportional to 669.64, 1,004.34 and 230.89

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Solution

The fourth proportional to 669.64, 1,004.34 and 230.89 is: 346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.64 : 1,004.34 = 230.89 : x
  2. Step 2: Convert to fraction form
    669.64/1,004.34 = 230.89/x
  3. Step 3: Cross multiply
    669.64x = 1,004.34 × 230.89
  4. Step 4: Simplify right side
    669.64x = 231,892.06
  5. Step 5: Solve for x
    x = 231,892.06/669.64
  6. Step 6: Final answer
    x = 346.29

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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.