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Finding the Fourth Proportional to 630.55, 945.81 and 197.65

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Solution

The fourth proportional to 630.55, 945.81 and 197.65 is: 296.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.55 : 945.81 = 197.65 : x
  2. Step 2: Convert to fraction form
    630.55/945.81 = 197.65/x
  3. Step 3: Cross multiply
    630.55x = 945.81 × 197.65
  4. Step 4: Simplify right side
    630.55x = 186,939.35
  5. Step 5: Solve for x
    x = 186,939.35/630.55
  6. Step 6: Final answer
    x = 296.47

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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.