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Finding the Fourth Proportional to 519.26, 777.86 and 345.40

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Solution

The fourth proportional to 519.26, 777.86 and 345.40 is: 517.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.26 : 777.86 = 345.40 : x
  2. Step 2: Convert to fraction form
    519.26/777.86 = 345.40/x
  3. Step 3: Cross multiply
    519.26x = 777.86 × 345.40
  4. Step 4: Simplify right side
    519.26x = 268,672.84
  5. Step 5: Solve for x
    x = 268,672.84/519.26
  6. Step 6: Final answer
    x = 517.41

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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.