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Finding the Fourth Proportional to 532.82, 798.97 and 199.03

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Solution

The fourth proportional to 532.82, 798.97 and 199.03 is: 298.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.82 : 798.97 = 199.03 : x
  2. Step 2: Convert to fraction form
    532.82/798.97 = 199.03/x
  3. Step 3: Cross multiply
    532.82x = 798.97 × 199.03
  4. Step 4: Simplify right side
    532.82x = 159,018.00
  5. Step 5: Solve for x
    x = 159,018.00/532.82
  6. Step 6: Final answer
    x = 298.45

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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.