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Finding the Fourth Proportional to 654.10, 902.67 and 405.43

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Solution

The fourth proportional to 654.10, 902.67 and 405.43 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.10 : 902.67 = 405.43 : x
  2. Step 2: Convert to fraction form
    654.10/902.67 = 405.43/x
  3. Step 3: Cross multiply
    654.10x = 902.67 × 405.43
  4. Step 4: Simplify right side
    654.10x = 365,969.50
  5. Step 5: Solve for x
    x = 365,969.50/654.10
  6. Step 6: Final answer
    x = 559.50

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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.