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Finding the Fourth Proportional to 685.37, 945.74 and 464.40

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Solution

The fourth proportional to 685.37, 945.74 and 464.40 is: 640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.37 : 945.74 = 464.40 : x
  2. Step 2: Convert to fraction form
    685.37/945.74 = 464.40/x
  3. Step 3: Cross multiply
    685.37x = 945.74 × 464.40
  4. Step 4: Simplify right side
    685.37x = 439,199.33
  5. Step 5: Solve for x
    x = 439,199.33/685.37
  6. Step 6: Final answer
    x = 640.83

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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.