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Finding the Fourth Proportional to 305.23, 419.96 and 263.65

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Solution

The fourth proportional to 305.23, 419.96 and 263.65 is: 362.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.23 : 419.96 = 263.65 : x
  2. Step 2: Convert to fraction form
    305.23/419.96 = 263.65/x
  3. Step 3: Cross multiply
    305.23x = 419.96 × 263.65
  4. Step 4: Simplify right side
    305.23x = 110,722.06
  5. Step 5: Solve for x
    x = 110,722.06/305.23
  6. Step 6: Final answer
    x = 362.75

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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.