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Finding the Fourth Proportional to 631.20, 946.68 and 220.24

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Solution

The fourth proportional to 631.20, 946.68 and 220.24 is: 330.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.20 : 946.68 = 220.24 : x
  2. Step 2: Convert to fraction form
    631.20/946.68 = 220.24/x
  3. Step 3: Cross multiply
    631.20x = 946.68 × 220.24
  4. Step 4: Simplify right side
    631.20x = 208,496.80
  5. Step 5: Solve for x
    x = 208,496.80/631.20
  6. Step 6: Final answer
    x = 330.32

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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.