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Finding the Fourth Proportional to 628.95, 943.49 and 263.77

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Solution

The fourth proportional to 628.95, 943.49 and 263.77 is: 395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    628.95 : 943.49 = 263.77 : x
  2. Step 2: Convert to fraction form
    628.95/943.49 = 263.77/x
  3. Step 3: Cross multiply
    628.95x = 943.49 × 263.77
  4. Step 4: Simplify right side
    628.95x = 248,863.04
  5. Step 5: Solve for x
    x = 248,863.04/628.95
  6. Step 6: Final answer
    x = 395.68

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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.