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Finding the Fourth Proportional to 685.38, 945.73 and 409.38

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Solution

The fourth proportional to 685.38, 945.73 and 409.38 is: 564.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.38 : 945.73 = 409.38 : x
  2. Step 2: Convert to fraction form
    685.38/945.73 = 409.38/x
  3. Step 3: Cross multiply
    685.38x = 945.73 × 409.38
  4. Step 4: Simplify right side
    685.38x = 387,162.95
  5. Step 5: Solve for x
    x = 387,162.95/685.38
  6. Step 6: Final answer
    x = 564.89

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Half scale
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Double scale
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1.5x scale

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.