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Finding the Fourth Proportional to 913.31, 1,369.80 and 296.92

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Solution

The fourth proportional to 913.31, 1,369.80 and 296.92 is: 445.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.31 : 1,369.80 = 296.92 : x
  2. Step 2: Convert to fraction form
    913.31/1,369.80 = 296.92/x
  3. Step 3: Cross multiply
    913.31x = 1,369.80 × 296.92
  4. Step 4: Simplify right side
    913.31x = 406,721.02
  5. Step 5: Solve for x
    x = 406,721.02/913.31
  6. Step 6: Final answer
    x = 445.33

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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.