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Finding the Fourth Proportional to 669.57, 923.91 and 374.85

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Solution

The fourth proportional to 669.57, 923.91 and 374.85 is: 517.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.57 : 923.91 = 374.85 : x
  2. Step 2: Convert to fraction form
    669.57/923.91 = 374.85/x
  3. Step 3: Cross multiply
    669.57x = 923.91 × 374.85
  4. Step 4: Simplify right side
    669.57x = 346,327.66
  5. Step 5: Solve for x
    x = 346,327.66/669.57
  6. Step 6: Final answer
    x = 517.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.