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Finding the Fourth Proportional to 685.24, 945.57 and 423.34

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Solution

The fourth proportional to 685.24, 945.57 and 423.34 is: 584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.24 : 945.57 = 423.34 : x
  2. Step 2: Convert to fraction form
    685.24/945.57 = 423.34/x
  3. Step 3: Cross multiply
    685.24x = 945.57 × 423.34
  4. Step 4: Simplify right side
    685.24x = 400,297.60
  5. Step 5: Solve for x
    x = 400,297.60/685.24
  6. Step 6: Final answer
    x = 584.17

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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.