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Finding the Fourth Proportional to 633.76, 950.78 and 268.80

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Solution

The fourth proportional to 633.76, 950.78 and 268.80 is: 403.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.76 : 950.78 = 268.80 : x
  2. Step 2: Convert to fraction form
    633.76/950.78 = 268.80/x
  3. Step 3: Cross multiply
    633.76x = 950.78 × 268.80
  4. Step 4: Simplify right side
    633.76x = 255,569.66
  5. Step 5: Solve for x
    x = 255,569.66/633.76
  6. Step 6: Final answer
    x = 403.26

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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.