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Finding the Fourth Proportional to 306.65, 420.96 and 282.05

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Solution

The fourth proportional to 306.65, 420.96 and 282.05 is: 387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.65 : 420.96 = 282.05 : x
  2. Step 2: Convert to fraction form
    306.65/420.96 = 282.05/x
  3. Step 3: Cross multiply
    306.65x = 420.96 × 282.05
  4. Step 4: Simplify right side
    306.65x = 118,729.66
  5. Step 5: Solve for x
    x = 118,729.66/306.65
  6. Step 6: Final answer
    x = 387.18

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.