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Finding the Fourth Proportional to 656.22, 905.50 and 390.66

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Solution

The fourth proportional to 656.22, 905.50 and 390.66 is: 539.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.22 : 905.50 = 390.66 : x
  2. Step 2: Convert to fraction form
    656.22/905.50 = 390.66/x
  3. Step 3: Cross multiply
    656.22x = 905.50 × 390.66
  4. Step 4: Simplify right side
    656.22x = 353,742.63
  5. Step 5: Solve for x
    x = 353,742.63/656.22
  6. Step 6: Final answer
    x = 539.06

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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.