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Finding the Fourth Proportional to 669.44, 1,004.45 and 345.03

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Solution

The fourth proportional to 669.44, 1,004.45 and 345.03 is: 517.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.44 : 1,004.45 = 345.03 : x
  2. Step 2: Convert to fraction form
    669.44/1,004.45 = 345.03/x
  3. Step 3: Cross multiply
    669.44x = 1,004.45 × 345.03
  4. Step 4: Simplify right side
    669.44x = 346,563.66
  5. Step 5: Solve for x
    x = 346,563.66/669.44
  6. Step 6: Final answer
    x = 517.70

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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.