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Finding the Fourth Proportional to 685.11, 943.99 and 463.68

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Solution

The fourth proportional to 685.11, 943.99 and 463.68 is: 638.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.11 : 943.99 = 463.68 : x
  2. Step 2: Convert to fraction form
    685.11/943.99 = 463.68/x
  3. Step 3: Cross multiply
    685.11x = 943.99 × 463.68
  4. Step 4: Simplify right side
    685.11x = 437,708.12
  5. Step 5: Solve for x
    x = 437,708.12/685.11
  6. Step 6: Final answer
    x = 638.88

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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.