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Finding the Fourth Proportional to 630.26, 945.36 and 301.43

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Solution

The fourth proportional to 630.26, 945.36 and 301.43 is: 452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.26 : 945.36 = 301.43 : x
  2. Step 2: Convert to fraction form
    630.26/945.36 = 301.43/x
  3. Step 3: Cross multiply
    630.26x = 945.36 × 301.43
  4. Step 4: Simplify right side
    630.26x = 284,959.86
  5. Step 5: Solve for x
    x = 284,959.86/630.26
  6. Step 6: Final answer
    x = 452.13

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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.