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Finding the Fourth Proportional to 685.45, 946.11 and 436.78

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Solution

The fourth proportional to 685.45, 946.11 and 436.78 is: 602.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.45 : 946.11 = 436.78 : x
  2. Step 2: Convert to fraction form
    685.45/946.11 = 436.78/x
  3. Step 3: Cross multiply
    685.45x = 946.11 × 436.78
  4. Step 4: Simplify right side
    685.45x = 413,241.93
  5. Step 5: Solve for x
    x = 413,241.93/685.45
  6. Step 6: Final answer
    x = 602.88

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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.