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Finding the Fourth Proportional to 669.11, 923.87 and 433.20

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Solution

The fourth proportional to 669.11, 923.87 and 433.20 is: 598.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.11 : 923.87 = 433.20 : x
  2. Step 2: Convert to fraction form
    669.11/923.87 = 433.20/x
  3. Step 3: Cross multiply
    669.11x = 923.87 × 433.20
  4. Step 4: Simplify right side
    669.11x = 400,220.48
  5. Step 5: Solve for x
    x = 400,220.48/669.11
  6. Step 6: Final answer
    x = 598.14

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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.