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Finding the Fourth Proportional to 669.40, 923.87 and 374.76

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Solution

The fourth proportional to 669.40, 923.87 and 374.76 is: 517.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.40 : 923.87 = 374.76 : x
  2. Step 2: Convert to fraction form
    669.40/923.87 = 374.76/x
  3. Step 3: Cross multiply
    669.40x = 923.87 × 374.76
  4. Step 4: Simplify right side
    669.40x = 346,230.46
  5. Step 5: Solve for x
    x = 346,230.46/669.40
  6. Step 6: Final answer
    x = 517.23

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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.