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Finding the Fourth Proportional to 630.06, 945.02 and 219.20

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Solution

The fourth proportional to 630.06, 945.02 and 219.20 is: 328.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.06 : 945.02 = 219.20 : x
  2. Step 2: Convert to fraction form
    630.06/945.02 = 219.20/x
  3. Step 3: Cross multiply
    630.06x = 945.02 × 219.20
  4. Step 4: Simplify right side
    630.06x = 207,148.38
  5. Step 5: Solve for x
    x = 207,148.38/630.06
  6. Step 6: Final answer
    x = 328.78

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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.