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Finding the Fourth Proportional to 656.22, 905.42 and 390.68

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Solution

The fourth proportional to 656.22, 905.42 and 390.68 is: 539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.22 : 905.42 = 390.68 : x
  2. Step 2: Convert to fraction form
    656.22/905.42 = 390.68/x
  3. Step 3: Cross multiply
    656.22x = 905.42 × 390.68
  4. Step 4: Simplify right side
    656.22x = 353,729.49
  5. Step 5: Solve for x
    x = 353,729.49/656.22
  6. Step 6: Final answer
    x = 539.04

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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.