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Finding the Fourth Proportional to 522.70, 784.04 and 157.48

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Solution

The fourth proportional to 522.70, 784.04 and 157.48 is: 236.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.70 : 784.04 = 157.48 : x
  2. Step 2: Convert to fraction form
    522.70/784.04 = 157.48/x
  3. Step 3: Cross multiply
    522.70x = 784.04 × 157.48
  4. Step 4: Simplify right side
    522.70x = 123,470.62
  5. Step 5: Solve for x
    x = 123,470.62/522.70
  6. Step 6: Final answer
    x = 236.22

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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.