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Finding the Fourth Proportional to 685.36, 945.84 and 374.86

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Solution

The fourth proportional to 685.36, 945.84 and 374.86 is: 517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.36 : 945.84 = 374.86 : x
  2. Step 2: Convert to fraction form
    685.36/945.84 = 374.86/x
  3. Step 3: Cross multiply
    685.36x = 945.84 × 374.86
  4. Step 4: Simplify right side
    685.36x = 354,557.58
  5. Step 5: Solve for x
    x = 354,557.58/685.36
  6. Step 6: Final answer
    x = 517.33

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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.