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Finding the Fourth Proportional to 463.04, 638.39 and 296.96

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Solution

The fourth proportional to 463.04, 638.39 and 296.96 is: 409.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.04 : 638.39 = 296.96 : x
  2. Step 2: Convert to fraction form
    463.04/638.39 = 296.96/x
  3. Step 3: Cross multiply
    463.04x = 638.39 × 296.96
  4. Step 4: Simplify right side
    463.04x = 189,576.29
  5. Step 5: Solve for x
    x = 189,576.29/463.04
  6. Step 6: Final answer
    x = 409.42

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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.