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Finding the Fourth Proportional to 656.09, 905.36 and 376.26

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Solution

The fourth proportional to 656.09, 905.36 and 376.26 is: 519.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.09 : 905.36 = 376.26 : x
  2. Step 2: Convert to fraction form
    656.09/905.36 = 376.26/x
  3. Step 3: Cross multiply
    656.09x = 905.36 × 376.26
  4. Step 4: Simplify right side
    656.09x = 340,650.75
  5. Step 5: Solve for x
    x = 340,650.75/656.09
  6. Step 6: Final answer
    x = 519.22

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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.