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Finding the Fourth Proportional to 330, 492.27 and 305.64

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Solution

The fourth proportional to 330, 492.27 and 305.64 is: 455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    330 : 492.27 = 305.64 : x
  2. Step 2: Convert to fraction form
    330/492.27 = 305.64/x
  3. Step 3: Cross multiply
    330x = 492.27 × 305.64
  4. Step 4: Simplify right side
    330x = 150,457.40
  5. Step 5: Solve for x
    x = 150,457.40/330
  6. Step 6: Final answer
    x = 455.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.