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Finding the Fourth Proportional to 634.95, 950.76 and 345.78

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Solution

The fourth proportional to 634.95, 950.76 and 345.78 is: 517.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.95 : 950.76 = 345.78 : x
  2. Step 2: Convert to fraction form
    634.95/950.76 = 345.78/x
  3. Step 3: Cross multiply
    634.95x = 950.76 × 345.78
  4. Step 4: Simplify right side
    634.95x = 328,753.79
  5. Step 5: Solve for x
    x = 328,753.79/634.95
  6. Step 6: Final answer
    x = 517.76

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