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Finding the Fourth Proportional to 520.26, 779.71 and 246.13

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Solution

The fourth proportional to 520.26, 779.71 and 246.13 is: 368.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.26 : 779.71 = 246.13 : x
  2. Step 2: Convert to fraction form
    520.26/779.71 = 246.13/x
  3. Step 3: Cross multiply
    520.26x = 779.71 × 246.13
  4. Step 4: Simplify right side
    520.26x = 191,910.02
  5. Step 5: Solve for x
    x = 191,910.02/520.26
  6. Step 6: Final answer
    x = 368.87

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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.