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Finding the Fourth Proportional to 685.15, 945.65 and 449.30

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Solution

The fourth proportional to 685.15, 945.65 and 449.30 is: 620.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.15 : 945.65 = 449.30 : x
  2. Step 2: Convert to fraction form
    685.15/945.65 = 449.30/x
  3. Step 3: Cross multiply
    685.15x = 945.65 × 449.30
  4. Step 4: Simplify right side
    685.15x = 424,884.03
  5. Step 5: Solve for x
    x = 424,884.03/685.15
  6. Step 6: Final answer
    x = 620.14

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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.