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Finding the Fourth Proportional to 634.07, 950.28 and 458.96

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Solution

The fourth proportional to 634.07, 950.28 and 458.96 is: 687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.07 : 950.28 = 458.96 : x
  2. Step 2: Convert to fraction form
    634.07/950.28 = 458.96/x
  3. Step 3: Cross multiply
    634.07x = 950.28 × 458.96
  4. Step 4: Simplify right side
    634.07x = 436,142.85
  5. Step 5: Solve for x
    x = 436,142.85/634.07
  6. Step 6: Final answer
    x = 687.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.