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Finding the Fourth Proportional to 630.41, 945.77 and 197.57

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Solution

The fourth proportional to 630.41, 945.77 and 197.57 is: 296.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.41 : 945.77 = 197.57 : x
  2. Step 2: Convert to fraction form
    630.41/945.77 = 197.57/x
  3. Step 3: Cross multiply
    630.41x = 945.77 × 197.57
  4. Step 4: Simplify right side
    630.41x = 186,850.06
  5. Step 5: Solve for x
    x = 186,850.06/630.41
  6. Step 6: Final answer
    x = 296.39

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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.