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Finding the Fourth Proportional to 633.03, 949.05 and 268.10

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Solution

The fourth proportional to 633.03, 949.05 and 268.10 is: 401.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.03 : 949.05 = 268.10 : x
  2. Step 2: Convert to fraction form
    633.03/949.05 = 268.10/x
  3. Step 3: Cross multiply
    633.03x = 949.05 × 268.10
  4. Step 4: Simplify right side
    633.03x = 254,435.56
  5. Step 5: Solve for x
    x = 254,435.56/633.03
  6. Step 6: Final answer
    x = 401.93

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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.