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Finding the Fourth Proportional to 685.44, 945.66 and 405.68

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Solution

The fourth proportional to 685.44, 945.66 and 405.68 is: 559.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.44 : 945.66 = 405.68 : x
  2. Step 2: Convert to fraction form
    685.44/945.66 = 405.68/x
  3. Step 3: Cross multiply
    685.44x = 945.66 × 405.68
  4. Step 4: Simplify right side
    685.44x = 383,635.35
  5. Step 5: Solve for x
    x = 383,635.35/685.44
  6. Step 6: Final answer
    x = 559.69

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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.