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Finding the Fourth Proportional to 654.25, 902.93 and 374.51

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Solution

The fourth proportional to 654.25, 902.93 and 374.51 is: 516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.25 : 902.93 = 374.51 : x
  2. Step 2: Convert to fraction form
    654.25/902.93 = 374.51/x
  3. Step 3: Cross multiply
    654.25x = 902.93 × 374.51
  4. Step 4: Simplify right side
    654.25x = 338,149.93
  5. Step 5: Solve for x
    x = 338,149.93/654.25
  6. Step 6: Final answer
    x = 516.85

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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.