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Finding the Fourth Proportional to 654.04, 902.58 and 405.28

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Solution

The fourth proportional to 654.04, 902.58 and 405.28 is: 559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.04 : 902.58 = 405.28 : x
  2. Step 2: Convert to fraction form
    654.04/902.58 = 405.28/x
  3. Step 3: Cross multiply
    654.04x = 902.58 × 405.28
  4. Step 4: Simplify right side
    654.04x = 365,797.62
  5. Step 5: Solve for x
    x = 365,797.62/654.04
  6. Step 6: Final answer
    x = 559.29

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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.