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Finding the Fourth Proportional to 656.65, 906.71 and 447.27

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Solution

The fourth proportional to 656.65, 906.71 and 447.27 is: 617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.65 : 906.71 = 447.27 : x
  2. Step 2: Convert to fraction form
    656.65/906.71 = 447.27/x
  3. Step 3: Cross multiply
    656.65x = 906.71 × 447.27
  4. Step 4: Simplify right side
    656.65x = 405,537.41
  5. Step 5: Solve for x
    x = 405,537.41/656.65
  6. Step 6: Final answer
    x = 617.59

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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.