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Finding the Fourth Proportional to 329.92, 453.47 and 296.44

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Solution

The fourth proportional to 329.92, 453.47 and 296.44 is: 407.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.92 : 453.47 = 296.44 : x
  2. Step 2: Convert to fraction form
    329.92/453.47 = 296.44/x
  3. Step 3: Cross multiply
    329.92x = 453.47 × 296.44
  4. Step 4: Simplify right side
    329.92x = 134,426.65
  5. Step 5: Solve for x
    x = 134,426.65/329.92
  6. Step 6: Final answer
    x = 407.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.