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Finding the Fourth Proportional to 912.92, 1,369.40 and 296.62

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Solution

The fourth proportional to 912.92, 1,369.40 and 296.62 is: 444.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.92 : 1,369.40 = 296.62 : x
  2. Step 2: Convert to fraction form
    912.92/1,369.40 = 296.62/x
  3. Step 3: Cross multiply
    912.92x = 1,369.40 × 296.62
  4. Step 4: Simplify right side
    912.92x = 406,195.89
  5. Step 5: Solve for x
    x = 406,195.89/912.92
  6. Step 6: Final answer
    x = 444.94

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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.