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Finding the Fourth Proportional to 654.36, 902.90 and 405.48

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Solution

The fourth proportional to 654.36, 902.90 and 405.48 is: 559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.36 : 902.90 = 405.48 : x
  2. Step 2: Convert to fraction form
    654.36/902.90 = 405.48/x
  3. Step 3: Cross multiply
    654.36x = 902.90 × 405.48
  4. Step 4: Simplify right side
    654.36x = 366,107.89
  5. Step 5: Solve for x
    x = 366,107.89/654.36
  6. Step 6: Final answer
    x = 559.49

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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.