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Finding the Fourth Proportional to 328.84, 493.86 and 267.33

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Solution

The fourth proportional to 328.84, 493.86 and 267.33 is: 401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    328.84 : 493.86 = 267.33 : x
  2. Step 2: Convert to fraction form
    328.84/493.86 = 267.33/x
  3. Step 3: Cross multiply
    328.84x = 493.86 × 267.33
  4. Step 4: Simplify right side
    328.84x = 132,023.59
  5. Step 5: Solve for x
    x = 132,023.59/328.84
  6. Step 6: Final answer
    x = 401.48

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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.