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Finding the Fourth Proportional to 433.56, 649.68 and 312.60

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Solution

The fourth proportional to 433.56, 649.68 and 312.60 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.56 : 649.68 = 312.60 : x
  2. Step 2: Convert to fraction form
    433.56/649.68 = 312.60/x
  3. Step 3: Cross multiply
    433.56x = 649.68 × 312.60
  4. Step 4: Simplify right side
    433.56x = 203,089.97
  5. Step 5: Solve for x
    x = 203,089.97/433.56
  6. Step 6: Final answer
    x = 468.42

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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.