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Finding the Fourth Proportional to 630.54, 945.95 and 197.70

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Solution

The fourth proportional to 630.54, 945.95 and 197.70 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.54 : 945.95 = 197.70 : x
  2. Step 2: Convert to fraction form
    630.54/945.95 = 197.70/x
  3. Step 3: Cross multiply
    630.54x = 945.95 × 197.70
  4. Step 4: Simplify right side
    630.54x = 187,014.32
  5. Step 5: Solve for x
    x = 187,014.32/630.54
  6. Step 6: Final answer
    x = 296.59

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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.