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Finding the Fourth Proportional to 314.69, 433.96 and 296.46

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Solution

The fourth proportional to 314.69, 433.96 and 296.46 is: 408.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.69 : 433.96 = 296.46 : x
  2. Step 2: Convert to fraction form
    314.69/433.96 = 296.46/x
  3. Step 3: Cross multiply
    314.69x = 433.96 × 296.46
  4. Step 4: Simplify right side
    314.69x = 128,651.04
  5. Step 5: Solve for x
    x = 128,651.04/314.69
  6. Step 6: Final answer
    x = 408.82

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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.