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Finding the Fourth Proportional to 628.90, 867.09 and 462.58

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Solution

The fourth proportional to 628.90, 867.09 and 462.58 is: 637.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.90 : 867.09 = 462.58 : x
  2. Step 2: Convert to fraction form
    628.90/867.09 = 462.58/x
  3. Step 3: Cross multiply
    628.90x = 867.09 × 462.58
  4. Step 4: Simplify right side
    628.90x = 401,098.49
  5. Step 5: Solve for x
    x = 401,098.49/628.90
  6. Step 6: Final answer
    x = 637.78

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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.