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Finding the Fourth Proportional to 333.27, 460.20 and 263.72

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Solution

The fourth proportional to 333.27, 460.20 and 263.72 is: 364.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.27 : 460.20 = 263.72 : x
  2. Step 2: Convert to fraction form
    333.27/460.20 = 263.72/x
  3. Step 3: Cross multiply
    333.27x = 460.20 × 263.72
  4. Step 4: Simplify right side
    333.27x = 121,361.64
  5. Step 5: Solve for x
    x = 121,361.64/333.27
  6. Step 6: Final answer
    x = 364.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.