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Finding the Fourth Proportional to 522.73, 784.23 and 249.03

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Solution

The fourth proportional to 522.73, 784.23 and 249.03 is: 373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.73 : 784.23 = 249.03 : x
  2. Step 2: Convert to fraction form
    522.73/784.23 = 249.03/x
  3. Step 3: Cross multiply
    522.73x = 784.23 × 249.03
  4. Step 4: Simplify right side
    522.73x = 195,296.80
  5. Step 5: Solve for x
    x = 195,296.80/522.73
  6. Step 6: Final answer
    x = 373.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.