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Finding the Fourth Proportional to 630.55, 946.10 and 219.46

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Solution

The fourth proportional to 630.55, 946.10 and 219.46 is: 329.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.55 : 946.10 = 219.46 : x
  2. Step 2: Convert to fraction form
    630.55/946.10 = 219.46/x
  3. Step 3: Cross multiply
    630.55x = 946.10 × 219.46
  4. Step 4: Simplify right side
    630.55x = 207,632.37
  5. Step 5: Solve for x
    x = 207,632.37/630.55
  6. Step 6: Final answer
    x = 329.29

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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.