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Finding the Fourth Proportional to 656.46, 905.82 and 394.42

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Solution

The fourth proportional to 656.46, 905.82 and 394.42 is: 544.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.46 : 905.82 = 394.42 : x
  2. Step 2: Convert to fraction form
    656.46/905.82 = 394.42/x
  3. Step 3: Cross multiply
    656.46x = 905.82 × 394.42
  4. Step 4: Simplify right side
    656.46x = 357,273.52
  5. Step 5: Solve for x
    x = 357,273.52/656.46
  6. Step 6: Final answer
    x = 544.24

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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.