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Finding the Fourth Proportional to 333.52, 499.80 and 205.36

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Solution

The fourth proportional to 333.52, 499.80 and 205.36 is: 307.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.52 : 499.80 = 205.36 : x
  2. Step 2: Convert to fraction form
    333.52/499.80 = 205.36/x
  3. Step 3: Cross multiply
    333.52x = 499.80 × 205.36
  4. Step 4: Simplify right side
    333.52x = 102,638.93
  5. Step 5: Solve for x
    x = 102,638.93/333.52
  6. Step 6: Final answer
    x = 307.74

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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.