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Finding the Fourth Proportional to 523.54, 785.00 and 198.93

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Solution

The fourth proportional to 523.54, 785.00 and 198.93 is: 298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.54 : 785.00 = 198.93 : x
  2. Step 2: Convert to fraction form
    523.54/785.00 = 198.93/x
  3. Step 3: Cross multiply
    523.54x = 785.00 × 198.93
  4. Step 4: Simplify right side
    523.54x = 156,155.13
  5. Step 5: Solve for x
    x = 156,155.13/523.54
  6. Step 6: Final answer
    x = 298.27

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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.