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Finding the Fourth Proportional to 523.61, 784.94 and 198.74

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Solution

The fourth proportional to 523.61, 784.94 and 198.74 is: 297.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.61 : 784.94 = 198.74 : x
  2. Step 2: Convert to fraction form
    523.61/784.94 = 198.74/x
  3. Step 3: Cross multiply
    523.61x = 784.94 × 198.74
  4. Step 4: Simplify right side
    523.61x = 156,001.06
  5. Step 5: Solve for x
    x = 156,001.06/523.61
  6. Step 6: Final answer
    x = 297.93

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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.