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Finding the Fourth Proportional to 303.65, 456.13 and 263.99

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Solution

The fourth proportional to 303.65, 456.13 and 263.99 is: 396.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.65 : 456.13 = 263.99 : x
  2. Step 2: Convert to fraction form
    303.65/456.13 = 263.99/x
  3. Step 3: Cross multiply
    303.65x = 456.13 × 263.99
  4. Step 4: Simplify right side
    303.65x = 120,415.23
  5. Step 5: Solve for x
    x = 120,415.23/303.65
  6. Step 6: Final answer
    x = 396.56

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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.