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Finding the Fourth Proportional to 522.84, 784.14 and 198.24

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Solution

The fourth proportional to 522.84, 784.14 and 198.24 is: 297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.84 : 784.14 = 198.24 : x
  2. Step 2: Convert to fraction form
    522.84/784.14 = 198.24/x
  3. Step 3: Cross multiply
    522.84x = 784.14 × 198.24
  4. Step 4: Simplify right side
    522.84x = 155,447.91
  5. Step 5: Solve for x
    x = 155,447.91/522.84
  6. Step 6: Final answer
    x = 297.31

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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.