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Finding the Fourth Proportional to 523.49, 785.10 and 198.80

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Solution

The fourth proportional to 523.49, 785.10 and 198.80 is: 298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.49 : 785.10 = 198.80 : x
  2. Step 2: Convert to fraction form
    523.49/785.10 = 198.80/x
  3. Step 3: Cross multiply
    523.49x = 785.10 × 198.80
  4. Step 4: Simplify right side
    523.49x = 156,077.88
  5. Step 5: Solve for x
    x = 156,077.88/523.49
  6. Step 6: Final answer
    x = 298.15

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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.