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Finding the Fourth Proportional to 301.28, 415.31 and 235.67

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Solution

The fourth proportional to 301.28, 415.31 and 235.67 is: 324.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.28 : 415.31 = 235.67 : x
  2. Step 2: Convert to fraction form
    301.28/415.31 = 235.67/x
  3. Step 3: Cross multiply
    301.28x = 415.31 × 235.67
  4. Step 4: Simplify right side
    301.28x = 97,877.74
  5. Step 5: Solve for x
    x = 97,877.74/301.28
  6. Step 6: Final answer
    x = 324.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.