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Finding the Fourth Proportional to 669.01, 923.10 and 459.11

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Solution

The fourth proportional to 669.01, 923.10 and 459.11 is: 633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.01 : 923.10 = 459.11 : x
  2. Step 2: Convert to fraction form
    669.01/923.10 = 459.11/x
  3. Step 3: Cross multiply
    669.01x = 923.10 × 459.11
  4. Step 4: Simplify right side
    669.01x = 423,805.24
  5. Step 5: Solve for x
    x = 423,805.24/669.01
  6. Step 6: Final answer
    x = 633.48

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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.