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Finding the Fourth Proportional to 532.85, 798.96 and 203.82

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Solution

The fourth proportional to 532.85, 798.96 and 203.82 is: 305.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.85 : 798.96 = 203.82 : x
  2. Step 2: Convert to fraction form
    532.85/798.96 = 203.82/x
  3. Step 3: Cross multiply
    532.85x = 798.96 × 203.82
  4. Step 4: Simplify right side
    532.85x = 162,844.03
  5. Step 5: Solve for x
    x = 162,844.03/532.85
  6. Step 6: Final answer
    x = 305.61

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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.