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Finding the Fourth Proportional to 423.36, 633.96 and 377.28

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Solution

The fourth proportional to 423.36, 633.96 and 377.28 is: 564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.36 : 633.96 = 377.28 : x
  2. Step 2: Convert to fraction form
    423.36/633.96 = 377.28/x
  3. Step 3: Cross multiply
    423.36x = 633.96 × 377.28
  4. Step 4: Simplify right side
    423.36x = 239,180.43
  5. Step 5: Solve for x
    x = 239,180.43/423.36
  6. Step 6: Final answer
    x = 564.96

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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.