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Finding the Fourth Proportional to 520.33, 780.27 and 231.57

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Solution

The fourth proportional to 520.33, 780.27 and 231.57 is: 347.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.33 : 780.27 = 231.57 : x
  2. Step 2: Convert to fraction form
    520.33/780.27 = 231.57/x
  3. Step 3: Cross multiply
    520.33x = 780.27 × 231.57
  4. Step 4: Simplify right side
    520.33x = 180,687.12
  5. Step 5: Solve for x
    x = 180,687.12/520.33
  6. Step 6: Final answer
    x = 347.25

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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.