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Finding the Fourth Proportional to 313.68, 468.20 and 267.68

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Solution

The fourth proportional to 313.68, 468.20 and 267.68 is: 399.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.68 : 468.20 = 267.68 : x
  2. Step 2: Convert to fraction form
    313.68/468.20 = 267.68/x
  3. Step 3: Cross multiply
    313.68x = 468.20 × 267.68
  4. Step 4: Simplify right side
    313.68x = 125,327.78
  5. Step 5: Solve for x
    x = 125,327.78/313.68
  6. Step 6: Final answer
    x = 399.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.