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Finding the Fourth Proportional to 654.25, 902.86 and 374.47

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Solution

The fourth proportional to 654.25, 902.86 and 374.47 is: 516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.25 : 902.86 = 374.47 : x
  2. Step 2: Convert to fraction form
    654.25/902.86 = 374.47/x
  3. Step 3: Cross multiply
    654.25x = 902.86 × 374.47
  4. Step 4: Simplify right side
    654.25x = 338,095.87
  5. Step 5: Solve for x
    x = 338,095.87/654.25
  6. Step 6: Final answer
    x = 516.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.