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Finding the Fourth Proportional to 685.56, 945.88 and 405.80

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Solution

The fourth proportional to 685.56, 945.88 and 405.80 is: 559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.56 : 945.88 = 405.80 : x
  2. Step 2: Convert to fraction form
    685.56/945.88 = 405.80/x
  3. Step 3: Cross multiply
    685.56x = 945.88 × 405.80
  4. Step 4: Simplify right side
    685.56x = 383,838.10
  5. Step 5: Solve for x
    x = 383,838.10/685.56
  6. Step 6: Final answer
    x = 559.89

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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.