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Finding the Fourth Proportional to 518.88, 777.36 and 364.44

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Solution

The fourth proportional to 518.88, 777.36 and 364.44 is: 545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.88 : 777.36 = 364.44 : x
  2. Step 2: Convert to fraction form
    518.88/777.36 = 364.44/x
  3. Step 3: Cross multiply
    518.88x = 777.36 × 364.44
  4. Step 4: Simplify right side
    518.88x = 283,301.08
  5. Step 5: Solve for x
    x = 283,301.08/518.88
  6. Step 6: Final answer
    x = 545.99

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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.