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Finding the Fourth Proportional to 523.04, 784.70 and 198.43

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Solution

The fourth proportional to 523.04, 784.70 and 198.43 is: 297.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.04 : 784.70 = 198.43 : x
  2. Step 2: Convert to fraction form
    523.04/784.70 = 198.43/x
  3. Step 3: Cross multiply
    523.04x = 784.70 × 198.43
  4. Step 4: Simplify right side
    523.04x = 155,705.81
  5. Step 5: Solve for x
    x = 155,705.81/523.04
  6. Step 6: Final answer
    x = 297.70

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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.