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Finding the Fourth Proportional to 523.21, 784.95 and 198.67

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Solution

The fourth proportional to 523.21, 784.95 and 198.67 is: 298.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 784.95 = 198.67 : x
  2. Step 2: Convert to fraction form
    523.21/784.95 = 198.67/x
  3. Step 3: Cross multiply
    523.21x = 784.95 × 198.67
  4. Step 4: Simplify right side
    523.21x = 155,946.02
  5. Step 5: Solve for x
    x = 155,946.02/523.21
  6. Step 6: Final answer
    x = 298.06

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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.