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Finding the Fourth Proportional to 669.56, 1,004.16 and 236.48

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Solution

The fourth proportional to 669.56, 1,004.16 and 236.48 is: 354.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.56 : 1,004.16 = 236.48 : x
  2. Step 2: Convert to fraction form
    669.56/1,004.16 = 236.48/x
  3. Step 3: Cross multiply
    669.56x = 1,004.16 × 236.48
  4. Step 4: Simplify right side
    669.56x = 237,463.76
  5. Step 5: Solve for x
    x = 237,463.76/669.56
  6. Step 6: Final answer
    x = 354.66

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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.