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Finding the Fourth Proportional to 669.68, 1,004.74 and 236.74

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Solution

The fourth proportional to 669.68, 1,004.74 and 236.74 is: 355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.68 : 1,004.74 = 236.74 : x
  2. Step 2: Convert to fraction form
    669.68/1,004.74 = 236.74/x
  3. Step 3: Cross multiply
    669.68x = 1,004.74 × 236.74
  4. Step 4: Simplify right side
    669.68x = 237,862.15
  5. Step 5: Solve for x
    x = 237,862.15/669.68
  6. Step 6: Final answer
    x = 355.19

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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.