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Finding the Fourth Proportional to 715.21, 1,072.88 and 276.46

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Solution

The fourth proportional to 715.21, 1,072.88 and 276.46 is: 414.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.21 : 1,072.88 = 276.46 : x
  2. Step 2: Convert to fraction form
    715.21/1,072.88 = 276.46/x
  3. Step 3: Cross multiply
    715.21x = 1,072.88 × 276.46
  4. Step 4: Simplify right side
    715.21x = 296,608.40
  5. Step 5: Solve for x
    x = 296,608.40/715.21
  6. Step 6: Final answer
    x = 414.72

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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.