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Finding the Fourth Proportional to 656.58, 905.90 and 394.68

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Solution

The fourth proportional to 656.58, 905.90 and 394.68 is: 544.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.58 : 905.90 = 394.68 : x
  2. Step 2: Convert to fraction form
    656.58/905.90 = 394.68/x
  3. Step 3: Cross multiply
    656.58x = 905.90 × 394.68
  4. Step 4: Simplify right side
    656.58x = 357,540.61
  5. Step 5: Solve for x
    x = 357,540.61/656.58
  6. Step 6: Final answer
    x = 544.55

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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.