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Finding the Fourth Proportional to 463.30, 638.73 and 288.58

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Solution

The fourth proportional to 463.30, 638.73 and 288.58 is: 397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.30 : 638.73 = 288.58 : x
  2. Step 2: Convert to fraction form
    463.30/638.73 = 288.58/x
  3. Step 3: Cross multiply
    463.30x = 638.73 × 288.58
  4. Step 4: Simplify right side
    463.30x = 184,324.70
  5. Step 5: Solve for x
    x = 184,324.70/463.30
  6. Step 6: Final answer
    x = 397.85

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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.