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Finding the Fourth Proportional to 913.27, 1,370.21 and 296.98

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Solution

The fourth proportional to 913.27, 1,370.21 and 296.98 is: 445.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.27 : 1,370.21 = 296.98 : x
  2. Step 2: Convert to fraction form
    913.27/1,370.21 = 296.98/x
  3. Step 3: Cross multiply
    913.27x = 1,370.21 × 296.98
  4. Step 4: Simplify right side
    913.27x = 406,924.97
  5. Step 5: Solve for x
    x = 406,924.97/913.27
  6. Step 6: Final answer
    x = 445.57

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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.