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Finding the Fourth Proportional to 522.82, 784.09 and 157.57

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Solution

The fourth proportional to 522.82, 784.09 and 157.57 is: 236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.82 : 784.09 = 157.57 : x
  2. Step 2: Convert to fraction form
    522.82/784.09 = 157.57/x
  3. Step 3: Cross multiply
    522.82x = 784.09 × 157.57
  4. Step 4: Simplify right side
    522.82x = 123,546.71
  5. Step 5: Solve for x
    x = 123,546.71/522.82
  6. Step 6: Final answer
    x = 236.31

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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.