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Finding the Fourth Proportional to 630.25, 945.54 and 219.41

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Solution

The fourth proportional to 630.25, 945.54 and 219.41 is: 329.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.25 : 945.54 = 219.41 : x
  2. Step 2: Convert to fraction form
    630.25/945.54 = 219.41/x
  3. Step 3: Cross multiply
    630.25x = 945.54 × 219.41
  4. Step 4: Simplify right side
    630.25x = 207,459.12
  5. Step 5: Solve for x
    x = 207,459.12/630.25
  6. Step 6: Final answer
    x = 329.17

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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.