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Finding the Fourth Proportional to 519.60, 780.30 and 366.60

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Solution

The fourth proportional to 519.60, 780.30 and 366.60 is: 550.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.60 : 780.30 = 366.60 : x
  2. Step 2: Convert to fraction form
    519.60/780.30 = 366.60/x
  3. Step 3: Cross multiply
    519.60x = 780.30 × 366.60
  4. Step 4: Simplify right side
    519.60x = 286,057.98
  5. Step 5: Solve for x
    x = 286,057.98/519.60
  6. Step 6: Final answer
    x = 550.53

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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.