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Finding the Fourth Proportional to 666.75, 920.28 and 454.42

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Solution

The fourth proportional to 666.75, 920.28 and 454.42 is: 627.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.75 : 920.28 = 454.42 : x
  2. Step 2: Convert to fraction form
    666.75/920.28 = 454.42/x
  3. Step 3: Cross multiply
    666.75x = 920.28 × 454.42
  4. Step 4: Simplify right side
    666.75x = 418,189.04
  5. Step 5: Solve for x
    x = 418,189.04/666.75
  6. Step 6: Final answer
    x = 627.21

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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.