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Finding the Fourth Proportional to 523.19, 784.91 and 198.56

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Solution

The fourth proportional to 523.19, 784.91 and 198.56 is: 297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.19 : 784.91 = 198.56 : x
  2. Step 2: Convert to fraction form
    523.19/784.91 = 198.56/x
  3. Step 3: Cross multiply
    523.19x = 784.91 × 198.56
  4. Step 4: Simplify right side
    523.19x = 155,854.19
  5. Step 5: Solve for x
    x = 155,854.19/523.19
  6. Step 6: Final answer
    x = 297.89

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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.