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Finding the Fourth Proportional to 529.92, 794.00 and 205.11

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Solution

The fourth proportional to 529.92, 794.00 and 205.11 is: 307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.92 : 794.00 = 205.11 : x
  2. Step 2: Convert to fraction form
    529.92/794.00 = 205.11/x
  3. Step 3: Cross multiply
    529.92x = 794.00 × 205.11
  4. Step 4: Simplify right side
    529.92x = 162,857.85
  5. Step 5: Solve for x
    x = 162,857.85/529.92
  6. Step 6: Final answer
    x = 307.33

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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.