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Finding the Fourth Proportional to 669.53, 923.84 and 389.78

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Solution

The fourth proportional to 669.53, 923.84 and 389.78 is: 537.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.53 : 923.84 = 389.78 : x
  2. Step 2: Convert to fraction form
    669.53/923.84 = 389.78/x
  3. Step 3: Cross multiply
    669.53x = 923.84 × 389.78
  4. Step 4: Simplify right side
    669.53x = 360,092.71
  5. Step 5: Solve for x
    x = 360,092.71/669.53
  6. Step 6: Final answer
    x = 537.83

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Why These Related Problems?

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