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Finding the Fourth Proportional to 520.55, 779.80 and 346.80

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Solution

The fourth proportional to 520.55, 779.80 and 346.80 is: 519.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.55 : 779.80 = 346.80 : x
  2. Step 2: Convert to fraction form
    520.55/779.80 = 346.80/x
  3. Step 3: Cross multiply
    520.55x = 779.80 × 346.80
  4. Step 4: Simplify right side
    520.55x = 270,434.64
  5. Step 5: Solve for x
    x = 270,434.64/520.55
  6. Step 6: Final answer
    x = 519.52

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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.