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Finding the Fourth Proportional to 529.29, 793.49 and 200.00

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Solution

The fourth proportional to 529.29, 793.49 and 200.00 is: 299.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.29 : 793.49 = 200.00 : x
  2. Step 2: Convert to fraction form
    529.29/793.49 = 200.00/x
  3. Step 3: Cross multiply
    529.29x = 793.49 × 200.00
  4. Step 4: Simplify right side
    529.29x = 158,698.98
  5. Step 5: Solve for x
    x = 158,698.98/529.29
  6. Step 6: Final answer
    x = 299.83

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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.