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Finding the Fourth Proportional to 654.12, 902.40 and 418.14

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Solution

The fourth proportional to 654.12, 902.40 and 418.14 is: 576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.12 : 902.40 = 418.14 : x
  2. Step 2: Convert to fraction form
    654.12/902.40 = 418.14/x
  3. Step 3: Cross multiply
    654.12x = 902.40 × 418.14
  4. Step 4: Simplify right side
    654.12x = 377,329.54
  5. Step 5: Solve for x
    x = 377,329.54/654.12
  6. Step 6: Final answer
    x = 576.85

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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.