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Finding the Fourth Proportional to 656.24, 905.48 and 376.44

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Solution

The fourth proportional to 656.24, 905.48 and 376.44 is: 519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.24 : 905.48 = 376.44 : x
  2. Step 2: Convert to fraction form
    656.24/905.48 = 376.44/x
  3. Step 3: Cross multiply
    656.24x = 905.48 × 376.44
  4. Step 4: Simplify right side
    656.24x = 340,858.89
  5. Step 5: Solve for x
    x = 340,858.89/656.24
  6. Step 6: Final answer
    x = 519.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.