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Finding the Fourth Proportional to 630.29, 945.44 and 197.46

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Solution

The fourth proportional to 630.29, 945.44 and 197.46 is: 296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.29 : 945.44 = 197.46 : x
  2. Step 2: Convert to fraction form
    630.29/945.44 = 197.46/x
  3. Step 3: Cross multiply
    630.29x = 945.44 × 197.46
  4. Step 4: Simplify right side
    630.29x = 186,685.60
  5. Step 5: Solve for x
    x = 186,685.60/630.29
  6. Step 6: Final answer
    x = 296.19

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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.