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Finding the Fourth Proportional to 912.79, 1,369.41 and 296.53

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Solution

The fourth proportional to 912.79, 1,369.41 and 296.53 is: 444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.79 : 1,369.41 = 296.53 : x
  2. Step 2: Convert to fraction form
    912.79/1,369.41 = 296.53/x
  3. Step 3: Cross multiply
    912.79x = 1,369.41 × 296.53
  4. Step 4: Simplify right side
    912.79x = 406,067.72
  5. Step 5: Solve for x
    x = 406,067.72/912.79
  6. Step 6: Final answer
    x = 444.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.