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Finding the Fourth Proportional to 685.14, 945.52 and 405.54

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Solution

The fourth proportional to 685.14, 945.52 and 405.54 is: 559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.14 : 945.52 = 405.54 : x
  2. Step 2: Convert to fraction form
    685.14/945.52 = 405.54/x
  3. Step 3: Cross multiply
    685.14x = 945.52 × 405.54
  4. Step 4: Simplify right side
    685.14x = 383,441.45
  5. Step 5: Solve for x
    x = 383,441.45/685.14
  6. Step 6: Final answer
    x = 559.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.