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Finding the Fourth Proportional to 685.30, 945.94 and 464.85

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Solution

The fourth proportional to 685.30, 945.94 and 464.85 is: 641.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.30 : 945.94 = 464.85 : x
  2. Step 2: Convert to fraction form
    685.30/945.94 = 464.85/x
  3. Step 3: Cross multiply
    685.30x = 945.94 × 464.85
  4. Step 4: Simplify right side
    685.30x = 439,720.21
  5. Step 5: Solve for x
    x = 439,720.21/685.30
  6. Step 6: Final answer
    x = 641.65

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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.