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Finding the Fourth Proportional to 667.28, 920.67 and 418.52

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Solution

The fourth proportional to 667.28, 920.67 and 418.52 is: 577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.28 : 920.67 = 418.52 : x
  2. Step 2: Convert to fraction form
    667.28/920.67 = 418.52/x
  3. Step 3: Cross multiply
    667.28x = 920.67 × 418.52
  4. Step 4: Simplify right side
    667.28x = 385,318.81
  5. Step 5: Solve for x
    x = 385,318.81/667.28
  6. Step 6: Final answer
    x = 577.45

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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.