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Finding the Fourth Proportional to 685.08, 945.34 and 405.34

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Solution

The fourth proportional to 685.08, 945.34 and 405.34 is: 559.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.08 : 945.34 = 405.34 : x
  2. Step 2: Convert to fraction form
    685.08/945.34 = 405.34/x
  3. Step 3: Cross multiply
    685.08x = 945.34 × 405.34
  4. Step 4: Simplify right side
    685.08x = 383,180.74
  5. Step 5: Solve for x
    x = 383,180.74/685.08
  6. Step 6: Final answer
    x = 559.32

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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.