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Finding the Fourth Proportional to 656.73, 906.26 and 435.83

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Solution

The fourth proportional to 656.73, 906.26 and 435.83 is: 601.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.73 : 906.26 = 435.83 : x
  2. Step 2: Convert to fraction form
    656.73/906.26 = 435.83/x
  3. Step 3: Cross multiply
    656.73x = 906.26 × 435.83
  4. Step 4: Simplify right side
    656.73x = 394,975.30
  5. Step 5: Solve for x
    x = 394,975.30/656.73
  6. Step 6: Final answer
    x = 601.43

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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.