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Finding the Fourth Proportional to 634.12, 950.94 and 498.76

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Solution

The fourth proportional to 634.12, 950.94 and 498.76 is: 747.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.12 : 950.94 = 498.76 : x
  2. Step 2: Convert to fraction form
    634.12/950.94 = 498.76/x
  3. Step 3: Cross multiply
    634.12x = 950.94 × 498.76
  4. Step 4: Simplify right side
    634.12x = 474,290.83
  5. Step 5: Solve for x
    x = 474,290.83/634.12
  6. Step 6: Final answer
    x = 747.95

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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.