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Finding the Fourth Proportional to 523.47, 785.07 and 198.84

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Solution

The fourth proportional to 523.47, 785.07 and 198.84 is: 298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.47 : 785.07 = 198.84 : x
  2. Step 2: Convert to fraction form
    523.47/785.07 = 198.84/x
  3. Step 3: Cross multiply
    523.47x = 785.07 × 198.84
  4. Step 4: Simplify right side
    523.47x = 156,103.32
  5. Step 5: Solve for x
    x = 156,103.32/523.47
  6. Step 6: Final answer
    x = 298.21

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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.