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Finding the Fourth Proportional to 654.44, 902.66 and 405.87

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Solution

The fourth proportional to 654.44, 902.66 and 405.87 is: 559.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.44 : 902.66 = 405.87 : x
  2. Step 2: Convert to fraction form
    654.44/902.66 = 405.87/x
  3. Step 3: Cross multiply
    654.44x = 902.66 × 405.87
  4. Step 4: Simplify right side
    654.44x = 366,360.58
  5. Step 5: Solve for x
    x = 366,360.58/654.44
  6. Step 6: Final answer
    x = 559.81

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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.