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Finding the Fourth Proportional to 669.56, 923.84 and 389.63

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Solution

The fourth proportional to 669.56, 923.84 and 389.63 is: 537.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.56 : 923.84 = 389.63 : x
  2. Step 2: Convert to fraction form
    669.56/923.84 = 389.63/x
  3. Step 3: Cross multiply
    669.56x = 923.84 × 389.63
  4. Step 4: Simplify right side
    669.56x = 359,952.50
  5. Step 5: Solve for x
    x = 359,952.50/669.56
  6. Step 6: Final answer
    x = 537.59

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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.