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Finding the Fourth Proportional to 352.45, 529.01 and 198.55

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Solution

The fourth proportional to 352.45, 529.01 and 198.55 is: 298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352.45 : 529.01 = 198.55 : x
  2. Step 2: Convert to fraction form
    352.45/529.01 = 198.55/x
  3. Step 3: Cross multiply
    352.45x = 529.01 × 198.55
  4. Step 4: Simplify right side
    352.45x = 105,031.30
  5. Step 5: Solve for x
    x = 105,031.30/352.45
  6. Step 6: Final answer
    x = 298.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.