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Finding the Fourth Proportional to 912.63, 1,368.97 and 296.33

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Solution

The fourth proportional to 912.63, 1,368.97 and 296.33 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    912.63 : 1,368.97 = 296.33 : x
  2. Step 2: Convert to fraction form
    912.63/1,368.97 = 296.33/x
  3. Step 3: Cross multiply
    912.63x = 1,368.97 × 296.33
  4. Step 4: Simplify right side
    912.63x = 405,659.29
  5. Step 5: Solve for x
    x = 405,659.29/912.63
  6. Step 6: Final answer
    x = 444.49

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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.