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Finding the Fourth Proportional to 523, 784.42 and 198.16

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Solution

The fourth proportional to 523, 784.42 and 198.16 is: 297.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    523 : 784.42 = 198.16 : x
  2. Step 2: Convert to fraction form
    523/784.42 = 198.16/x
  3. Step 3: Cross multiply
    523x = 784.42 × 198.16
  4. Step 4: Simplify right side
    523x = 155,440.67
  5. Step 5: Solve for x
    x = 155,440.67/523
  6. Step 6: Final answer
    x = 297.21

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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.