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Finding the Fourth Proportional to 685.35, 944.60 and 464.22

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Solution

The fourth proportional to 685.35, 944.60 and 464.22 is: 639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.35 : 944.60 = 464.22 : x
  2. Step 2: Convert to fraction form
    685.35/944.60 = 464.22/x
  3. Step 3: Cross multiply
    685.35x = 944.60 × 464.22
  4. Step 4: Simplify right side
    685.35x = 438,499.89
  5. Step 5: Solve for x
    x = 438,499.89/685.35
  6. Step 6: Final answer
    x = 639.82

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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.