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Finding the Fourth Proportional to 462.82, 638.82 and 313.66

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Solution

The fourth proportional to 462.82, 638.82 and 313.66 is: 432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.82 : 638.82 = 313.66 : x
  2. Step 2: Convert to fraction form
    462.82/638.82 = 313.66/x
  3. Step 3: Cross multiply
    462.82x = 638.82 × 313.66
  4. Step 4: Simplify right side
    462.82x = 200,372.28
  5. Step 5: Solve for x
    x = 200,372.28/462.82
  6. Step 6: Final answer
    x = 432.94

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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.