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Finding the Fourth Proportional to 668.68, 922.15 and 459.09

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Solution

The fourth proportional to 668.68, 922.15 and 459.09 is: 633.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.68 : 922.15 = 459.09 : x
  2. Step 2: Convert to fraction form
    668.68/922.15 = 459.09/x
  3. Step 3: Cross multiply
    668.68x = 922.15 × 459.09
  4. Step 4: Simplify right side
    668.68x = 423,349.84
  5. Step 5: Solve for x
    x = 423,349.84/668.68
  6. Step 6: Final answer
    x = 633.11

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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.