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Finding the Fourth Proportional to 301.52, 451.78 and 209.99

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Solution

The fourth proportional to 301.52, 451.78 and 209.99 is: 314.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.52 : 451.78 = 209.99 : x
  2. Step 2: Convert to fraction form
    301.52/451.78 = 209.99/x
  3. Step 3: Cross multiply
    301.52x = 451.78 × 209.99
  4. Step 4: Simplify right side
    301.52x = 94,869.89
  5. Step 5: Solve for x
    x = 94,869.89/301.52
  6. Step 6: Final answer
    x = 314.64

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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.