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Finding the Fourth Proportional to 715.15, 1,072.11 and 282.02

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Solution

The fourth proportional to 715.15, 1,072.11 and 282.02 is: 422.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.15 : 1,072.11 = 282.02 : x
  2. Step 2: Convert to fraction form
    715.15/1,072.11 = 282.02/x
  3. Step 3: Cross multiply
    715.15x = 1,072.11 × 282.02
  4. Step 4: Simplify right side
    715.15x = 302,359.14
  5. Step 5: Solve for x
    x = 302,359.14/715.15
  6. Step 6: Final answer
    x = 422.79

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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.