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Finding the Fourth Proportional to 463.37, 638.88 and 397.76

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Solution

The fourth proportional to 463.37, 638.88 and 397.76 is: 548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.37 : 638.88 = 397.76 : x
  2. Step 2: Convert to fraction form
    463.37/638.88 = 397.76/x
  3. Step 3: Cross multiply
    463.37x = 638.88 × 397.76
  4. Step 4: Simplify right side
    463.37x = 254,117.71
  5. Step 5: Solve for x
    x = 254,117.71/463.37
  6. Step 6: Final answer
    x = 548.42

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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.