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Finding the Fourth Proportional to 630.54, 945.93 and 197.59

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Solution

The fourth proportional to 630.54, 945.93 and 197.59 is: 296.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.54 : 945.93 = 197.59 : x
  2. Step 2: Convert to fraction form
    630.54/945.93 = 197.59/x
  3. Step 3: Cross multiply
    630.54x = 945.93 × 197.59
  4. Step 4: Simplify right side
    630.54x = 186,906.31
  5. Step 5: Solve for x
    x = 186,906.31/630.54
  6. Step 6: Final answer
    x = 296.42

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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.