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Finding the Fourth Proportional to 523.07, 784.28 and 198.36

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Solution

The fourth proportional to 523.07, 784.28 and 198.36 is: 297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.07 : 784.28 = 198.36 : x
  2. Step 2: Convert to fraction form
    523.07/784.28 = 198.36/x
  3. Step 3: Cross multiply
    523.07x = 784.28 × 198.36
  4. Step 4: Simplify right side
    523.07x = 155,569.78
  5. Step 5: Solve for x
    x = 155,569.78/523.07
  6. Step 6: Final answer
    x = 297.42

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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.