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Finding the Fourth Proportional to 314.28, 433.41 and 296.97

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Solution

The fourth proportional to 314.28, 433.41 and 296.97 is: 409.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.28 : 433.41 = 296.97 : x
  2. Step 2: Convert to fraction form
    314.28/433.41 = 296.97/x
  3. Step 3: Cross multiply
    314.28x = 433.41 × 296.97
  4. Step 4: Simplify right side
    314.28x = 128,709.77
  5. Step 5: Solve for x
    x = 128,709.77/314.28
  6. Step 6: Final answer
    x = 409.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.