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Finding the Fourth Proportional to 520.46, 780.78 and 231.92

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Solution

The fourth proportional to 520.46, 780.78 and 231.92 is: 347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.46 : 780.78 = 231.92 : x
  2. Step 2: Convert to fraction form
    520.46/780.78 = 231.92/x
  3. Step 3: Cross multiply
    520.46x = 780.78 × 231.92
  4. Step 4: Simplify right side
    520.46x = 181,078.50
  5. Step 5: Solve for x
    x = 181,078.50/520.46
  6. Step 6: Final answer
    x = 347.92

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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.