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Finding the Fourth Proportional to 669.23, 923.53 and 389.63

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Solution

The fourth proportional to 669.23, 923.53 and 389.63 is: 537.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.23 : 923.53 = 389.63 : x
  2. Step 2: Convert to fraction form
    669.23/923.53 = 389.63/x
  3. Step 3: Cross multiply
    669.23x = 923.53 × 389.63
  4. Step 4: Simplify right side
    669.23x = 359,834.99
  5. Step 5: Solve for x
    x = 359,834.99/669.23
  6. Step 6: Final answer
    x = 537.69

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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.