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Finding the Fourth Proportional to 522.29, 782.84 and 197.33

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Solution

The fourth proportional to 522.29, 782.84 and 197.33 is: 295.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.29 : 782.84 = 197.33 : x
  2. Step 2: Convert to fraction form
    522.29/782.84 = 197.33/x
  3. Step 3: Cross multiply
    522.29x = 782.84 × 197.33
  4. Step 4: Simplify right side
    522.29x = 154,476.83
  5. Step 5: Solve for x
    x = 154,476.83/522.29
  6. Step 6: Final answer
    x = 295.77

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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.