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Finding the Fourth Proportional to 301.20, 450.72 and 209.52

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Solution

The fourth proportional to 301.20, 450.72 and 209.52 is: 313.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.20 : 450.72 = 209.52 : x
  2. Step 2: Convert to fraction form
    301.20/450.72 = 209.52/x
  3. Step 3: Cross multiply
    301.20x = 450.72 × 209.52
  4. Step 4: Simplify right side
    301.20x = 94,434.85
  5. Step 5: Solve for x
    x = 94,434.85/301.20
  6. Step 6: Final answer
    x = 313.53

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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.