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Finding the Fourth Proportional to 523.87, 785.52 and 280.33

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Solution

The fourth proportional to 523.87, 785.52 and 280.33 is: 420.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.87 : 785.52 = 280.33 : x
  2. Step 2: Convert to fraction form
    523.87/785.52 = 280.33/x
  3. Step 3: Cross multiply
    523.87x = 785.52 × 280.33
  4. Step 4: Simplify right side
    523.87x = 220,204.82
  5. Step 5: Solve for x
    x = 220,204.82/523.87
  6. Step 6: Final answer
    x = 420.34

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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.