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Finding the Fourth Proportional to 633.84, 949.95 and 268.26

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Solution

The fourth proportional to 633.84, 949.95 and 268.26 is: 402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.84 : 949.95 = 268.26 : x
  2. Step 2: Convert to fraction form
    633.84/949.95 = 268.26/x
  3. Step 3: Cross multiply
    633.84x = 949.95 × 268.26
  4. Step 4: Simplify right side
    633.84x = 254,833.59
  5. Step 5: Solve for x
    x = 254,833.59/633.84
  6. Step 6: Final answer
    x = 402.05

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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.