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Finding the Fourth Proportional to 630.25, 945.46 and 197.44

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Solution

The fourth proportional to 630.25, 945.46 and 197.44 is: 296.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.25 : 945.46 = 197.44 : x
  2. Step 2: Convert to fraction form
    630.25/945.46 = 197.44/x
  3. Step 3: Cross multiply
    630.25x = 945.46 × 197.44
  4. Step 4: Simplify right side
    630.25x = 186,669.51
  5. Step 5: Solve for x
    x = 186,669.51/630.25
  6. Step 6: Final answer
    x = 296.18

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.