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Finding the Fourth Proportional to 630.47, 945.61 and 168.28

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Solution

The fourth proportional to 630.47, 945.61 and 168.28 is: 252.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.47 : 945.61 = 168.28 : x
  2. Step 2: Convert to fraction form
    630.47/945.61 = 168.28/x
  3. Step 3: Cross multiply
    630.47x = 945.61 × 168.28
  4. Step 4: Simplify right side
    630.47x = 159,127.25
  5. Step 5: Solve for x
    x = 159,127.25/630.47
  6. Step 6: Final answer
    x = 252.39

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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.