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Finding the Fourth Proportional to 520.59, 779.81 and 246.90

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Solution

The fourth proportional to 520.59, 779.81 and 246.90 is: 369.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.59 : 779.81 = 246.90 : x
  2. Step 2: Convert to fraction form
    520.59/779.81 = 246.90/x
  3. Step 3: Cross multiply
    520.59x = 779.81 × 246.90
  4. Step 4: Simplify right side
    520.59x = 192,533.85
  5. Step 5: Solve for x
    x = 192,533.85/520.59
  6. Step 6: Final answer
    x = 369.84

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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.