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Finding the Fourth Proportional to 630.34, 945.53 and 197.53

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Solution

The fourth proportional to 630.34, 945.53 and 197.53 is: 296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.34 : 945.53 = 197.53 : x
  2. Step 2: Convert to fraction form
    630.34/945.53 = 197.53/x
  3. Step 3: Cross multiply
    630.34x = 945.53 × 197.53
  4. Step 4: Simplify right side
    630.34x = 186,770.54
  5. Step 5: Solve for x
    x = 186,770.54/630.34
  6. Step 6: Final answer
    x = 296.30

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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.