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Finding the Fourth Proportional to 685.04, 945.14 and 422.96

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Solution

The fourth proportional to 685.04, 945.14 and 422.96 is: 583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.04 : 945.14 = 422.96 : x
  2. Step 2: Convert to fraction form
    685.04/945.14 = 422.96/x
  3. Step 3: Cross multiply
    685.04x = 945.14 × 422.96
  4. Step 4: Simplify right side
    685.04x = 399,756.41
  5. Step 5: Solve for x
    x = 399,756.41/685.04
  6. Step 6: Final answer
    x = 583.55

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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.