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Finding the Fourth Proportional to 656.37, 983.52 and 412.43

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Solution

The fourth proportional to 656.37, 983.52 and 412.43 is: 617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.37 : 983.52 = 412.43 : x
  2. Step 2: Convert to fraction form
    656.37/983.52 = 412.43/x
  3. Step 3: Cross multiply
    656.37x = 983.52 × 412.43
  4. Step 4: Simplify right side
    656.37x = 405,628.24
  5. Step 5: Solve for x
    x = 405,628.24/656.37
  6. Step 6: Final answer
    x = 617.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.