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Finding the Fourth Proportional to 303.85, 456 and 253.09

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Solution

The fourth proportional to 303.85, 456 and 253.09 is: 379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.85 : 456 = 253.09 : x
  2. Step 2: Convert to fraction form
    303.85/456 = 253.09/x
  3. Step 3: Cross multiply
    303.85x = 456 × 253.09
  4. Step 4: Simplify right side
    303.85x = 115,409.04
  5. Step 5: Solve for x
    x = 115,409.04/303.85
  6. Step 6: Final answer
    x = 379.82

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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.