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Finding the Fourth Proportional to 522.69, 783.93 and 198

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Solution

The fourth proportional to 522.69, 783.93 and 198 is: 296.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.69 : 783.93 = 198 : x
  2. Step 2: Convert to fraction form
    522.69/783.93 = 198/x
  3. Step 3: Cross multiply
    522.69x = 783.93 × 198
  4. Step 4: Simplify right side
    522.69x = 155,218.14
  5. Step 5: Solve for x
    x = 155,218.14/522.69
  6. Step 6: Final answer
    x = 296.96

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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.