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Finding the Fourth Proportional to 628.31, 866.83 and 462.92

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Solution

The fourth proportional to 628.31, 866.83 and 462.92 is: 638.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.31 : 866.83 = 462.92 : x
  2. Step 2: Convert to fraction form
    628.31/866.83 = 462.92/x
  3. Step 3: Cross multiply
    628.31x = 866.83 × 462.92
  4. Step 4: Simplify right side
    628.31x = 401,267.02
  5. Step 5: Solve for x
    x = 401,267.02/628.31
  6. Step 6: Final answer
    x = 638.65

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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.