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Finding the Fourth Proportional to 630.14, 944.89 and 197.20

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Solution

The fourth proportional to 630.14, 944.89 and 197.20 is: 295.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.14 : 944.89 = 197.20 : x
  2. Step 2: Convert to fraction form
    630.14/944.89 = 197.20/x
  3. Step 3: Cross multiply
    630.14x = 944.89 × 197.20
  4. Step 4: Simplify right side
    630.14x = 186,332.31
  5. Step 5: Solve for x
    x = 186,332.31/630.14
  6. Step 6: Final answer
    x = 295.70

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