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Finding the Fourth Proportional to 463.72, 638.44 and 405.52

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Solution

The fourth proportional to 463.72, 638.44 and 405.52 is: 558.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.72 : 638.44 = 405.52 : x
  2. Step 2: Convert to fraction form
    463.72/638.44 = 405.52/x
  3. Step 3: Cross multiply
    463.72x = 638.44 × 405.52
  4. Step 4: Simplify right side
    463.72x = 258,900.19
  5. Step 5: Solve for x
    x = 258,900.19/463.72
  6. Step 6: Final answer
    x = 558.31

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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.