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Finding the Fourth Proportional to 685.42, 945.50 and 461.44

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Solution

The fourth proportional to 685.42, 945.50 and 461.44 is: 636.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.42 : 945.50 = 461.44 : x
  2. Step 2: Convert to fraction form
    685.42/945.50 = 461.44/x
  3. Step 3: Cross multiply
    685.42x = 945.50 × 461.44
  4. Step 4: Simplify right side
    685.42x = 436,291.52
  5. Step 5: Solve for x
    x = 436,291.52/685.42
  6. Step 6: Final answer
    x = 636.53

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Double scale
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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.