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Finding the Fourth Proportional to 669.30, 923.82 and 459.78

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Solution

The fourth proportional to 669.30, 923.82 and 459.78 is: 634.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.30 : 923.82 = 459.78 : x
  2. Step 2: Convert to fraction form
    669.30/923.82 = 459.78/x
  3. Step 3: Cross multiply
    669.30x = 923.82 × 459.78
  4. Step 4: Simplify right side
    669.30x = 424,753.96
  5. Step 5: Solve for x
    x = 424,753.96/669.30
  6. Step 6: Final answer
    x = 634.62

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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.