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Finding the Fourth Proportional to 654.18, 902.94 and 405.35

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Solution

The fourth proportional to 654.18, 902.94 and 405.35 is: 559.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.18 : 902.94 = 405.35 : x
  2. Step 2: Convert to fraction form
    654.18/902.94 = 405.35/x
  3. Step 3: Cross multiply
    654.18x = 902.94 × 405.35
  4. Step 4: Simplify right side
    654.18x = 366,004.70
  5. Step 5: Solve for x
    x = 366,004.70/654.18
  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.