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Finding the Fourth Proportional to 655.67, 905.27 and 407.09

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Solution

The fourth proportional to 655.67, 905.27 and 407.09 is: 562.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.67 : 905.27 = 407.09 : x
  2. Step 2: Convert to fraction form
    655.67/905.27 = 407.09/x
  3. Step 3: Cross multiply
    655.67x = 905.27 × 407.09
  4. Step 4: Simplify right side
    655.67x = 368,519.80
  5. Step 5: Solve for x
    x = 368,519.80/655.67
  6. Step 6: Final answer
    x = 562.06

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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.